########## точність 1e-6 ########## Лабораторна робота №3 (варіант 19) Виконав: студент групи ІПЗ-11 Одарчук Олексій Обчислення суми ряду SUM(x=1..5) SUM(k=1..inf) (-1)^k*x^k / ((k+2)^3*sqrt(k)) Увага: при k = 0 елемент ряду не визначено (sqrt(0) = 0 у знаменнику), тому внутрішнє підсумовування починається з k = 1. Уведіть точність обчислення елемента ряду (наприклад 1e-6): 1e-6 Задана точність: 1.000e-06 === Зовнішній параметр x = 1 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 1 | 1 | -3.703703703704e-02 | -3.703703703704e-02 1 | 2 | 1.104854345604e-02 | -2.598849358100e-02 1 | 3 | -4.618802153517e-03 | -3.060729573451e-02 1 | 4 | 2.314814814815e-03 | -2.829248091970e-02 1 | 5 | -1.303829724490e-03 | -2.959631064419e-02 1 | 6 | 7.973599423122e-04 | -2.879895070188e-02 1 | 7 | -5.184697846491e-04 | -2.931742048653e-02 1 | 8 | 3.535533905933e-04 | -2.896386709593e-02 1 | 9 | -2.504382669672e-04 | -2.921430536290e-02 1 | 10 | 1.830021794079e-04 | -2.903130318349e-02 1 | 11 | -1.372377535629e-04 | -2.916854093705e-02 1 | 12 | 1.052023085258e-04 | -2.906333862853e-02 1 | 13 | -8.217780684818e-05 | -2.914551643538e-02 1 | 14 | 6.524932663878e-05 | -2.908026710874e-02 1 | 15 | -5.255422140182e-05 | -2.913282133014e-02 1 | 16 | 4.286694101509e-05 | -2.908995438913e-02 1 | 17 | -3.536020192978e-05 | -2.912531459106e-02 1 | 18 | 2.946278254944e-05 | -2.909585180851e-02 1 | 19 | -2.477224207651e-05 | -2.912062405058e-02 1 | 20 | 2.099988709147e-05 | -2.909962416349e-02 1 | 21 | -1.793522562965e-05 | -2.911755938912e-02 1 | 22 | 1.542250552341e-05 | -2.910213688360e-02 1 | 23 | -1.334492249965e-05 | -2.911548180610e-02 1 | 24 | 1.161379979699e-05 | -2.910386800630e-02 1 | 25 | -1.016105268506e-05 | -2.911402905898e-02 1 | 26 | 8.933861841207e-06 | -2.910509519714e-02 1 | 27 | -7.890856112587e-06 | -2.911298605326e-02 1 | 28 | 6.999342092763e-06 | -2.910598671116e-02 1 | 29 | -6.233269718272e-06 | -2.911221998088e-02 1 | 30 | 5.571721979830e-06 | -2.910664825890e-02 1 | 31 | -4.997782286412e-06 | -2.911164604119e-02 1 | 32 | 4.497676961547e-06 | -2.910714836423e-02 1 | 33 | -4.060120255526e-06 | -2.911120848448e-02 1 | 34 | 3.675809866738e-06 | -2.910753267462e-02 1 | 35 | -3.337035337408e-06 | -2.911086970995e-02 1 | 36 | 3.037371822909e-06 | -2.910783233813e-02 1 | 37 | -2.771438953883e-06 | -2.911060377708e-02 1 | 38 | 2.534709705168e-06 | -2.910806906738e-02 1 | 39 | -2.323357957735e-06 | -2.911039242534e-02 1 | 40 | 2.134136203007e-06 | -2.910825828913e-02 1 | 41 | -1.964276879880e-06 | -2.911022256601e-02 1 | 42 | 1.811412353988e-06 | -2.910841115366e-02 1 | 43 | -1.673509688149e-06 | -2.911008466335e-02 1 | 44 | 1.548817213455e-06 | -2.910853584613e-02 1 | 45 | -1.435820564807e-06 | -2.910997166670e-02 1 | 46 | 1.333206345440e-06 | -2.910863846035e-02 1 | 47 | -1.239831970505e-06 | -2.910987829232e-02 1 | 48 | 1.154700538379e-06 | -2.910872359179e-02 1 | 49 | -1.076939810911e-06 | -2.910980053160e-02 1 | 50 | 1.005784565866e-06 | -2.910879474703e-02 1 | 51 | -9.405617281568e-07 | -2.910973530876e-02 Доданків обчислено: 51; зупинка: досягнуто заданої точності (ряд збігся) Внутрішня сума при x = 1: -2.910973530876e-02 === Зовнішній параметр x = 2 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 2 | 1 | -7.407407407407e-02 | -7.407407407407e-02 2 | 2 | 4.419417382416e-02 | -2.987990024991e-02 2 | 3 | -3.695041722814e-02 | -6.683031747805e-02 2 | 4 | 3.703703703704e-02 | -2.979328044101e-02 2 | 5 | -4.172255118367e-02 | -7.151583162468e-02 2 | 6 | 5.103103630798e-02 | -2.048479531670e-02 2 | 7 | -6.636413243509e-02 | -8.684892775179e-02 2 | 8 | 9.050966799188e-02 | 3.660740240087e-03 2 | 9 | -1.282243926872e-01 | -1.245636524471e-01 2 | 10 | 1.873942317137e-01 | 6.283057926657e-02 2 | 11 | -2.810629192969e-01 | -2.182323400303e-01 2 | 12 | 4.309086557217e-01 | 2.126763156914e-01 2 | 13 | -6.732005937003e-01 | -4.605242780089e-01 2 | 14 | 1.069044967650e+00 | 6.085206896408e-01 2 | 15 | -1.722096726895e+00 | -1.113576037254e+00 2 | 16 | 2.809327846365e+00 | 1.695751809111e+00 2 | 17 | -4.634732387340e+00 | -2.938980578229e+00 2 | 18 | 7.723491668640e+00 | 4.784511090411e+00 2 | 19 | -1.298778925381e+01 | -8.203278163398e+00 2 | 20 | 2.201997760683e+01 | 1.381669944343e+01 2 | 21 | -3.761289429968e+01 | -2.379619485625e+01 2 | 22 | 6.468667660686e+01 | 4.089048175061e+01 2 | 23 | -1.119453236400e+02 | -7.105484188936e+01 2 | 24 | 1.948472277749e+02 | 1.237923858855e+02 2 | 25 | -3.409483513692e+02 | -2.171559654837e+02 2 | 26 | 5.995413192964e+02 | 3.823853538127e+02 2 | 27 | -1.059092779406e+03 | -6.767074255936e+02 2 | 28 | 1.878871586371e+03 | 1.202164160777e+03 2 | 29 | -3.346461198391e+03 | -2.144297037613e+03 2 | 30 | 5.982590921443e+03 | 3.838293883830e+03 2 | 31 | -1.073265573633e+04 | -6.894361852503e+03 2 | 32 | 1.931737545782e+04 | 1.242301360531e+04 2 | 33 | -3.487616743063e+04 | -2.245315382531e+04 2 | 34 | 6.314993265581e+04 | 4.069677883049e+04 2 | 35 | -1.146596611181e+05 | -7.396288228760e+04 2 | 36 | 2.087266023230e+05 | 1.347637200354e+05 2 | 37 | -3.809036694331e+05 | -2.461399493978e+05 2 | 38 | 6.967356984673e+05 | 4.505957490695e+05 2 | 39 | -1.277279545008e+06 | -8.266837959385e+05 2 | 40 | 2.346507570464e+06 | 1.519823774526e+06 2 | 41 | -4.319490539199e+06 | -2.799666764673e+06 2 | 42 | 7.966675783626e+06 | 5.167009018954e+06 2 | 43 | -1.472034689053e+07 | -9.553337871574e+06 2 | 44 | 2.724708056790e+07 | 1.769374269633e+07 2 | 45 | -5.051844500498e+07 | -3.282470230865e+07 2 | 46 | 9.381605625830e+07 | 6.099135394965e+07 2 | 47 | -1.744908375115e+08 | -1.134994835618e+08 2 | 48 | 3.250193071481e+08 | 2.115198235863e+08 2 | 49 | -6.062632163899e+08 | -3.947433928036e+08 2 | 50 | 1.132412749012e+09 | 7.376693562089e+08 2 | 51 | -2.117956724223e+09 | -1.380287368014e+09 2 | 52 | 3.966220210687e+09 | 2.585932842673e+09 2 | 53 | -7.436417546082e+09 | -4.850484703410e+09 2 | 54 | 1.395914456396e+10 | 9.108659860546e+09 2 | 55 | -2.623275177237e+10 | -1.712409191182e+10 2 | 56 | 4.935165974363e+10 | 3.222756783181e+10 2 | 57 | -9.294291517194e+10 | -6.071534734014e+10 2 | 58 | 1.752152895106e+11 | 1.144999421705e+11 2 | 59 | -3.306391176599e+11 | -2.161391754894e+11 2 | 60 | 6.245238756149e+11 | 4.083847001255e+11 2 | 61 | -1.180709804616e+12 | -7.723251044904e+11 2 | 62 | 2.234209861852e+12 | 1.461884757361e+12 2 | 63 | -4.231354211838e+12 | -2.769469454476e+12 2 | 64 | 8.020435098971e+12 | 5.250965644494e+12 2 | 65 | -1.521488351438e+13 | -9.963917869885e+12 2 | 66 | 2.888557439125e+13 | 1.892165652136e+13 2 | 67 | -5.488138160399e+13 | -3.595972508263e+13 2 | 68 | 1.043496817213e+14 | 6.838995663871e+13 2 | 69 | -1.985500996141e+14 | -1.301601429754e+14 2 | 70 | 3.780534339158e+14 | 2.478932909404e+14 2 | 71 | -7.203307214259e+14 | -4.724374304856e+14 2 | 72 | 1.373403912933e+15 | 9.009664824470e+14 2 | 73 | -2.620260459310e+15 | -1.719293976863e+15 2 | 74 | 5.002222927145e+15 | 3.282928950282e+15 2 | 75 | -9.555355902322e+15 | -6.272426952040e+15 2 | 76 | 1.826371267677e+16 | 1.199128572473e+16 2 | 77 | -3.492874886678e+16 | -2.293746314205e+16 2 | 78 | 6.683783894209e+16 | 4.390037580004e+16 2 | 79 | -1.279679035646e+17 | -8.406752776456e+16 2 | 80 | 2.451393907892e+17 | 1.610718630246e+17 2 | 81 | -4.698431096485e+17 | -3.087712466239e+17 2 | 82 | 9.009793972798e+17 | 5.922081506559e+17 2 | 83 | -1.728597246130e+18 | -1.136389095474e+18 2 | 84 | 3.318063086371e+18 | 2.181673990897e+18 2 | 85 | -6.372097476070e+18 | -4.190423485173e+18 2 | 86 | 1.224284595476e+19 | 8.052422469587e+18 2 | 87 | -2.353314531376e+19 | -1.548072284417e+19 2 | 88 | 4.525543607355e+19 | 2.977471322938e+19 2 | 89 | -8.706636914222e+19 | -5.729165591284e+19 2 | 90 | 1.675771781450e+20 | 1.102855222321e+20 2 | 91 | -3.226710955344e+20 | -2.123855733023e+20 2 | 92 | 6.215586669846e+20 | 4.091730936823e+20 2 | 93 | -1.197780687995e+21 | -7.886075943122e+20 2 | 94 | 2.309095880558e+21 | 1.520488286246e+21 2 | 95 | -4.453203919428e+21 | -2.932715633182e+21 2 | 96 | 8.591435621808e+21 | 5.658719988626e+21 2 | 97 | -1.658128287867e+22 | -1.092256289004e+22 2 | 98 | 3.201301198559e+22 | 2.109044909555e+22 2 | 99 | -6.182837781218e+22 | -4.073792871663e+22 2 | 100 | 1.194535472997e+23 | 7.871561858307e+22 2 | 101 | -2.308645236036e+23 | -1.521489050206e+23 2 | 102 | 4.463334686394e+23 | 2.941845636188e+23 2 | 103 | -8.631833285476e+23 | -5.689987649288e+23 2 | 104 | 1.669880078336e+24 | 1.100881313407e+24 2 | 105 | -3.231495549426e+24 | -2.130614236019e+24 2 | 106 | 6.255403680386e+24 | 4.124789444367e+24 2 | 107 | -1.211262169395e+25 | -7.987832249584e+24 2 | 108 | 2.346116633004e+25 | 1.547333408046e+25 2 | 109 | -4.545559448945e+25 | -2.998226040899e+25 2 | 110 | 8.809456439886e+25 | 5.811230398987e+25 2 | 111 | -1.707783050210e+26 | -1.126660010312e+26 2 | 112 | 3.311585322210e+26 | 2.184925311899e+26 2 | 113 | -6.423278717405e+26 | -4.238353405506e+26 2 | 114 | 1.246215396086e+27 | 8.223800555357e+26 2 | 115 | -2.418482760265e+27 | -1.596102704729e+27 2 | 116 | 4.694663627057e+27 | 3.098560922328e+27 2 | 117 | -9.115398879398e+27 | -6.016837957070e+27 2 | 118 | 1.770332109837e+28 | 1.168648314130e+28 2 | 119 | -3.439061104709e+28 | -2.270412790579e+28 2 | 120 | 6.682352243128e+28 | 4.411939452549e+28 2 | 121 | -1.298737725025e+29 | -8.575437797702e+28 2 | 122 | 2.524727439894e+29 | 1.667183660123e+29 2 | 123 | -4.909156439446e+29 | -3.241972779323e+29 2 | 124 | 9.547660865573e+29 | 6.305688086250e+29 2 | 125 | -1.857305259758e+30 | -1.226736451133e+30 2 | 126 | 3.613801319766e+30 | 2.387064868633e+30 2 | 127 | -7.032965029560e+30 | -4.645900160927e+30 2 | 128 | 1.369003010742e+31 | 9.044129946492e+30 2 | 129 | -2.665389598216e+31 | -1.760976603567e+31 2 | 130 | 5.190461410538e+31 | 3.429484806971e+31 2 | 131 | -1.010971380248e+32 | -6.680228995509e+31 2 | 132 | 1.969509440877e+32 | 1.301486541326e+32 2 | 133 | -3.837622902986e+32 | -2.536136361659e+32 2 | 134 | 7.479116440186e+32 | 4.942980078527e+32 2 | 135 | -1.457876813680e+33 | -9.635788058272e+32 2 | 136 | 2.842318206241e+33 | 1.878739400414e+33 2 | 137 | -5.542487491116e+33 | -3.663748090701e+33 2 | 138 | 1.080975252314e+34 | 7.146004432438e+33 2 | 139 | -2.108650771850e+34 | -1.394050328606e+34 2 | 140 | 4.114057354725e+34 | 2.720007026120e+34 2 | 141 | -8.028080523266e+34 | -5.308073497146e+34 2 | 142 | 1.566851132385e+35 | 1.036043782670e+35 2 | 143 | -3.058562464960e+35 | -2.022518682289e+35 2 | 144 | 5.971446727299e+35 | 3.948928045009e+35 2 | 145 | -1.166039777523e+36 | -7.711469730218e+35 2 | 146 | 2.277287135822e+36 | 1.506140162800e+36 2 | 147 | -4.448277681082e+36 | -2.942137518282e+36 2 | 148 | 8.690299085732e+36 | 5.748161567450e+36 2 | 149 | -1.698030074131e+37 | -1.123213917386e+37 2 | 150 | 3.318355847562e+37 | 2.195141930176e+37 2 | 151 | -6.485845202445e+37 | -4.290703272269e+37 2 | 152 | 1.267871922820e+38 | 8.388015955933e+37 Доданків обчислено: 152; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 2: 8.388015955933e+37 === Зовнішній параметр x = 3 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 3 | 1 | -1.111111111111e-01 | -1.111111111111e-01 3 | 2 | 9.943689110436e-02 | -1.167422000675e-02 3 | 3 | -1.247076581450e-01 | -1.363818781517e-01 3 | 4 | 1.875000000000e-01 | 5.111812184829e-02 3 | 5 | -3.168306230510e-01 | -2.657125012027e-01 3 | 6 | 5.812753979456e-01 | 3.155628967429e-01 3 | 7 | -1.133893419028e+00 | -8.183305222848e-01 3 | 8 | 2.319663795682e+00 | 1.501333273398e+00 3 | 9 | -4.929376408715e+00 | -3.428043135318e+00 3 | 10 | 1.080609569186e+01 | 7.378052556539e+00 3 | 11 | -2.431125633041e+01 | -1.693320377387e+01 3 | 12 | 5.590882004526e+01 | 3.897561627139e+01 3 | 13 | -1.310179675476e+02 | -9.204235127622e+01 3 | 14 | 3.120855065841e+02 | 2.200431553079e+02 3 | 15 | -7.540956353522e+02 | -5.340524800443e+02 3 | 16 | 1.845281250000e+03 | 1.311228769956e+03 3 | 17 | -4.566422240924e+03 | -3.255193470968e+03 3 | 18 | 1.141448562260e+04 | 8.159292151636e+03 3 | 19 | -2.879182241672e+04 | -2.063253026509e+04 3 | 20 | 7.322207873330e+04 | 5.258954846821e+04 3 | 21 | -1.876087948617e+05 | -1.350192463935e+05 3 | 22 | 4.839745651502e+05 | 3.489553187568e+05 3 | 23 | -1.256333425317e+06 | -9.073781065605e+05 3 | 24 | 3.280080093448e+06 | 2.372701986887e+06 3 | 25 | -8.609344200000e+06 | -6.236642213113e+06 3 | 26 | 2.270867812918e+07 | 1.647203591606e+07 3 | 27 | -6.017249252653e+07 | -4.370045661047e+07 3 | 28 | 1.601224963774e+08 | 1.164220397670e+08 3 | 29 | -4.277916529821e+08 | -3.113696132152e+08 3 | 30 | 1.147168146144e+09 | 8.357985329286e+08 3 | 31 | -3.086997158736e+09 | -2.251198625807e+09 3 | 32 | 8.334286212680e+09 | 6.083087586873e+09 3 | 33 | -2.257045440797e+10 | -1.648736682110e+10 3 | 34 | 6.130214904101e+10 | 4.481478221991e+10 3 | 35 | -1.669570339805e+11 | -1.221422517605e+11 3 | 36 | 4.558932160209e+11 | 3.337509642604e+11 3 | 37 | -1.247934357093e+12 | -9.141833928323e+11 3 | 38 | 3.424016959029e+12 | 2.509833566197e+12 3 | 39 | -9.415536263929e+12 | -6.905702697732e+12 3 | 40 | 2.594611400023e+13 | 1.904041130250e+13 3 | 41 | -7.164306352362e+13 | -5.260265222112e+13 3 | 42 | 1.982029086737e+14 | 1.456002564525e+14 3 | 43 | -5.493412151373e+14 | -4.037409586847e+14 3 | 44 | 1.525230124612e+15 | 1.121489165927e+15 3 | 45 | -4.241862938937e+15 | -3.120373773010e+15 3 | 46 | 1.181612534036e+16 | 8.695751567353e+15 3 | 47 | -3.296566210005e+16 | -2.426991053269e+16 3 | 48 | 9.210635476546e+16 | 6.783644423277e+16 3 | 49 | -2.577109743727e+17 | -1.898745301400e+17 3 | 50 | 7.220507158868e+17 | 5.321761857469e+17 3 | 51 | -2.025682115831e+18 | -1.493505930084e+18 3 | 52 | 5.690131382064e+18 | 4.196625451980e+18 3 | 53 | -1.600296652783e+19 | -1.180634107586e+19 3 | 54 | 4.505954416153e+19 | 3.325320308568e+19 3 | 55 | -1.270173646619e+20 | -9.376416157624e+19 3 | 56 | 3.584365347975e+20 | 2.646723732213e+20 3 | 57 | -1.012553679692e+21 | -7.478813064706e+20 3 | 58 | 2.863287951600e+21 | 2.115406645129e+21 3 | 59 | -8.104729369516e+21 | -5.989322724386e+21 3 | 60 | 2.296278658353e+22 | 1.697346385914e+22 3 | 61 | -6.511933727220e+22 | -4.814587341306e+22 3 | 62 | 1.848340696783e+23 | 1.366881962652e+23 3 | 63 | -5.250839005177e+23 | -3.883957042525e+23 3 | 64 | 1.492926779978e+24 | 1.104531075725e+24 3 | 65 | -4.248156136026e+24 | -3.143625060301e+24 3 | 66 | 1.209773607305e+25 | 8.954111012754e+24 3 | 67 | -3.447778782119e+25 | -2.552367680843e+25 3 | 68 | 9.833242386891e+25 | 7.280874706048e+25 3 | 69 | -2.806512521036e+26 | -2.078425050431e+26 3 | 70 | 8.015697534028e+26 | 5.937272483597e+26 3 | 71 | -2.290927420344e+27 | -1.697200171984e+27 3 | 72 | 6.551925226338e+27 | 4.854725054354e+27 3 | 73 | -1.875022028254e+28 | -1.389549522819e+28 3 | 74 | 5.369281980333e+28 | 3.979732457515e+28 3 | 75 | -1.538478022949e+29 | -1.140504777197e+29 3 | 76 | 4.410875040850e+29 | 3.270370263652e+29 3 | 77 | -1.265347982455e+30 | -9.383109560897e+29 3 | 78 | 3.631956228074e+30 | 2.693645271985e+30 3 | 79 | -1.043062952890e+31 | -7.736984256920e+30 3 | 80 | 2.997186908246e+31 | 2.223488482554e+31 3 | 81 | -8.616776842562e+31 | -6.393288360008e+31 3 | 82 | 2.478552386960e+32 | 1.839223550959e+32 3 | 83 | -7.132935853066e+32 | -5.293712302107e+32 3 | 84 | 2.053763350992e+33 | 1.524392120781e+33 3 | 85 | -5.916153456690e+33 | -4.391761335909e+33 3 | 86 | 1.705024656802e+34 | 1.265848523211e+34 3 | 87 | -4.916086483527e+34 | -3.650237960315e+34 3 | 88 | 1.418082674167e+35 | 1.053058878135e+35 3 | 89 | -4.092347360742e+35 | -3.039288482607e+35 3 | 90 | 1.181484934065e+36 | 8.775560858048e+35 3 | 91 | -3.412436964142e+36 | -2.534880878337e+36 3 | 92 | 9.860023720540e+36 | 7.325142842203e+36 3 | 93 | -2.850128223517e+37 | -2.117613939297e+37 3 | 94 | 8.241766718169e+37 | 6.124152778872e+37 3 | 95 | -2.384197306057e+38 | -1.771782028170e+38 Доданків обчислено: 95; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 3: -1.771782028170e+38 === Зовнішній параметр x = 4 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 4 | 1 | -1.481481481481e-01 | -1.481481481481e-01 4 | 2 | 1.767766952966e-01 | 2.862854714849e-02 4 | 3 | -2.956033378251e-01 | -2.669747906766e-01 4 | 4 | 5.925925925926e-01 | 3.256178019160e-01 4 | 5 | -1.335121637877e+00 | -1.009503835961e+00 4 | 6 | 3.265986323711e+00 | 2.256482487749e+00 4 | 7 | -8.494608951692e+00 | -6.238126463942e+00 4 | 8 | 2.317047500592e+01 | 1.693234854198e+01 4 | 9 | -6.565088905585e+01 | -4.871854051387e+01 4 | 10 | 1.918916932748e+02 | 1.431731527609e+02 4 | 11 | -5.756168587200e+02 | -4.324437059591e+02 4 | 12 | 1.765001853836e+03 | 1.332558147877e+03 4 | 13 | -5.514859263593e+03 | -4.182301115716e+03 4 | 14 | 1.751523274997e+04 | 1.333293163426e+04 4 | 15 | -5.642966554689e+04 | -4.309673391264e+04 4 | 16 | 1.841121097394e+05 | 1.410153758267e+05 4 | 17 | -6.074836434734e+05 | -4.664682676466e+05 4 | 18 | 2.024666999984e+06 | 1.558198732337e+06 4 | 19 | -6.809342052301e+06 | -5.251143319964e+06 4 | 20 | 2.308962003906e+07 | 1.783847671909e+07 4 | 21 | -7.887995650636e+07 | -6.104147978727e+07 4 | 22 | 2.713155864388e+08 | 2.102741066516e+08 4 | 23 | -9.390654374488e+08 | -7.287913307972e+08 4 | 24 | 3.268994027381e+09 | 2.540202696583e+09 4 | 25 | -1.144032827153e+10 | -8.900125574947e+09 4 | 26 | 4.023453685904e+10 | 3.133441128409e+10 4 | 27 | -1.421490265931e+11 | -1.108146153090e+11 4 | 28 | 5.043557510529e+11 | 3.935411357439e+11 4 | 29 | -1.796617675553e+12 | -1.403076539809e+12 4 | 30 | 6.423758088236e+12 | 5.020681548427e+12 4 | 31 | -2.304820269339e+13 | -1.802752114496e+13 4 | 32 | 8.296749583587e+13 | 6.493997469091e+13 4 | 33 | -2.995839970487e+14 | -2.346440223578e+14 4 | 34 | 1.084907582005e+15 | 8.502635596474e+14 4 | 35 | -3.939675957381e+15 | -3.089412397734e+15 4 | 36 | 1.434358289252e+16 | 1.125417049478e+16 4 | 37 | -5.235100170054e+16 | -4.109683120575e+16 4 | 38 | 1.915172504878e+17 | 1.504204192821e+17 4 | 39 | -7.021918558284e+17 | -5.517714365463e+17 4 | 40 | 2.580012358390e+18 | 2.028240921844e+18 4 | 41 | -9.498660147835e+18 | -7.470419225991e+18 4 | 42 | 3.503781063528e+19 | 2.756739140928e+19 4 | 43 | -1.294815405683e+20 | -1.019141491590e+20 4 | 44 | 4.793357105177e+20 | 3.774215613587e+20 4 | 45 | -1.777459766404e+21 | -1.400038205046e+21 4 | 46 | 6.601718062598e+21 | 5.201679857552e+21 4 | 47 | -2.455740221238e+22 | -1.935572235483e+22 4 | 48 | 9.148480191002e+22 | 7.212907955519e+22 4 | 49 | -3.412958494277e+23 | -2.691667698725e+23 4 | 50 | 1.274983408621e+24 | 1.005816638748e+24 4 | 51 | -4.769214556999e+24 | -3.763397918251e+24 4 | 52 | 1.786226786292e+25 | 1.409886994467e+25 4 | 53 | -6.698129457901e+25 | -5.288242463435e+25 4 | 54 | 2.514655930266e+26 | 1.985831683922e+26 4 | 55 | -9.451344888555e+26 | -7.465513204633e+26 4 | 56 | 3.556161862904e+27 | 2.809610542441e+27 4 | 57 | -1.339448570032e+28 | -1.058487515788e+28 4 | 58 | 5.050236880318e+28 | 3.991749364530e+28 4 | 59 | -1.906004745072e+29 | -1.506829808619e+29 4 | 60 | 7.200270063369e+29 | 5.693440254750e+29 4 | 61 | -2.722531448884e+30 | -2.153187423409e+30 4 | 62 | 1.030347438213e+31 | 8.150286958726e+30 4 | 63 | -3.902735411549e+31 | -3.087706715677e+31 4 | 64 | 1.479509136305e+32 | 1.170738464737e+32 4 | 65 | -5.613301246021e+32 | -4.442562781284e+32 4 | 66 | 2.131379192870e+33 | 1.687122914741e+33 4 | 67 | -8.099062406883e+33 | -6.411939492142e+33 4 | 68 | 3.079858996619e+34 | 2.438665047404e+34 4 | 69 | -1.172032919485e+35 | -9.281664147447e+34 4 | 70 | 4.463267162644e+35 | 3.535100747899e+35 4 | 71 | -1.700832827722e+36 | -1.347322752932e+36 4 | 72 | 6.485716605875e+36 | 5.138393852943e+36 4 | 73 | -2.474766033886e+37 | -1.960926648592e+37 4 | 74 | 9.448931956396e+37 | 7.488005307804e+37 4 | 75 | -3.609911395601e+38 | -2.861110864821e+38 Доданків обчислено: 75; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 4: -2.861110864821e+38 === Зовнішній параметр x = 5 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 5 | 1 | -1.851851851852e-01 | -1.851851851852e-01 5 | 2 | 2.762135864010e-01 | 9.102840121581e-02 5 | 3 | -5.773502691896e-01 | -4.863218679738e-01 5 | 4 | 1.446759259259e+00 | 9.604373912854e-01 5 | 5 | -4.074467889030e+00 | -3.114030497745e+00 5 | 6 | 1.245874909863e+01 | 9.344718600884e+00 5 | 7 | -4.050545192571e+01 | -3.116073332483e+01 5 | 8 | 1.381067932005e+02 | 1.069460598757e+02 5 | 9 | -4.891372401703e+02 | -3.821911802946e+02 5 | 10 | 1.787130658280e+03 | 1.404939477986e+03 5 | 11 | -6.701062185690e+03 | -5.296122707705e+03 5 | 12 | 2.568415735493e+04 | 2.038803464723e+04 5 | 13 | -1.003147056252e+05 | -7.992667097799e+04 5 | 14 | 3.982502846605e+05 | 3.183236136825e+05 5 | 15 | -1.603827557429e+06 | -1.285503943746e+06 5 | 16 | 6.540976107039e+06 | 5.255472163293e+06 5 | 17 | -2.697769312269e+07 | -2.172222095940e+07 5 | 18 | 1.123915960291e+08 | 9.066937506965e+07 5 | 19 | -4.724930205633e+08 | -3.818236454937e+08 5 | 20 | 2.002705296657e+09 | 1.620881651163e+09 5 | 21 | -8.552182020976e+09 | -6.931300369813e+09 5 | 22 | 3.677011853077e+10 | 2.983881816096e+10 5 | 23 | -1.590838730294e+11 | -1.292450548684e+11 5 | 24 | 6.922364113922e+11 | 5.629913565238e+11 5 | 25 | -3.028229679185e+12 | -2.465238322661e+12 5 | 26 | 1.331249153794e+13 | 1.084725321528e+13 5 | 27 | -5.879145944556e+13 | -4.794420623028e+13 5 | 28 | 2.607458119379e+14 | 2.128016057076e+14 5 | 29 | -1.161036960459e+15 | -9.482353547512e+14 5 | 30 | 5.189070459297e+15 | 4.240835104545e+15 5 | 31 | -2.327273733174e+16 | -1.903190222720e+16 5 | 32 | 1.047197021904e+17 | 8.568779996322e+16 5 | 33 | -4.726602062032e+17 | -3.869724062400e+17 5 | 34 | 2.139602943054e+18 | 1.752630536814e+18 5 | 35 | -9.712051068804e+18 | -7.959420531989e+18 5 | 36 | 4.419957728400e+19 | 3.624015675201e+19 5 | 37 | -2.016487235875e+20 | -1.654085668354e+20 5 | 38 | 9.221220189531e+20 | 7.567134521177e+20 5 | 39 | -4.226163505765e+21 | -3.469450053647e+21 5 | 40 | 1.940985569497e+22 | 1.594040564132e+22 5 | 41 | -8.932497075329e+22 | -7.338456511196e+22 5 | 42 | 4.118674846695e+23 | 3.384829195575e+23 5 | 43 | -1.902560243422e+24 | -1.564077323864e+24 5 | 44 | 8.804006560327e+24 | 7.239929236462e+24 5 | 45 | -4.080847488715e+25 | -3.356854565069e+25 5 | 46 | 1.894600168043e+26 | 1.558914711536e+26 5 | 47 | -8.809536002052e+26 | -7.250621290515e+26 5 | 48 | 4.102320397618e+27 | 3.377258268567e+27 5 | 49 | -1.913029398734e+28 | -1.575303571877e+28 5 | 50 | 8.933161462698e+28 | 7.357857890821e+28 5 | 51 | -4.176933146724e+29 | -3.441147357642e+29 5 | 52 | 1.955497541068e+30 | 1.611382805303e+30 5 | 53 | -9.166092307819e+30 | -7.554709502515e+30 5 | 54 | 4.301493522200e+31 | 3.546022571949e+31 5 | 55 | -2.020897686483e+32 | -1.666295429288e+32 5 | 56 | 9.504783930547e+32 | 7.838488501258e+32 5 | 57 | -4.475038586207e+33 | -3.691189736081e+33 5 | 58 | 2.109077329894e+34 | 1.739958356286e+34 5 | 59 | -9.949809023235e+34 | -8.209850666949e+34 5 | 60 | 4.698395441530e+35 | 3.877410374835e+35 5 | 61 | -2.220668328458e+36 | -1.832927290975e+36 5 | 62 | 1.050520428463e+37 | 8.672276993658e+36 5 | 63 | -4.973932972343e+37 | -4.106705272978e+37 5 | 64 | 2.356994037494e+38 | 1.946323510196e+38 Доданків обчислено: 64; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 5: 1.946323510196e+38 ============================================================ Загальна сума ряду: -1.847767787201e+38 УВАГА: для деяких значень x внутрішній ряд розбігається (|a(k)| ~ x^k / k^3.5 необмежено зростає при x > 1), тому підсумовування припинено за порогом переповнення 1e+38. Загальна сума в цьому разі не має скінченного значення. ########## точність 1e-3 ########## Лабораторна робота №3 (варіант 19) Виконав: студент групи ІПЗ-11 Одарчук Олексій Обчислення суми ряду SUM(x=1..5) SUM(k=1..inf) (-1)^k*x^k / ((k+2)^3*sqrt(k)) Увага: при k = 0 елемент ряду не визначено (sqrt(0) = 0 у знаменнику), тому внутрішнє підсумовування починається з k = 1. Уведіть точність обчислення елемента ряду (наприклад 1e-6): 1e-3 Задана точність: 1.000e-03 === Зовнішній параметр x = 1 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 1 | 1 | -3.703703703704e-02 | -3.703703703704e-02 1 | 2 | 1.104854345604e-02 | -2.598849358100e-02 1 | 3 | -4.618802153517e-03 | -3.060729573451e-02 1 | 4 | 2.314814814815e-03 | -2.829248091970e-02 1 | 5 | -1.303829724490e-03 | -2.959631064419e-02 1 | 6 | 7.973599423122e-04 | -2.879895070188e-02 Доданків обчислено: 6; зупинка: досягнуто заданої точності (ряд збігся) Внутрішня сума при x = 1: -2.879895070188e-02 === Зовнішній параметр x = 2 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 2 | 1 | -7.407407407407e-02 | -7.407407407407e-02 2 | 2 | 4.419417382416e-02 | -2.987990024991e-02 2 | 3 | -3.695041722814e-02 | -6.683031747805e-02 2 | 4 | 3.703703703704e-02 | -2.979328044101e-02 2 | 5 | -4.172255118367e-02 | -7.151583162468e-02 2 | 6 | 5.103103630798e-02 | -2.048479531670e-02 2 | 7 | -6.636413243509e-02 | -8.684892775179e-02 2 | 8 | 9.050966799188e-02 | 3.660740240087e-03 2 | 9 | -1.282243926872e-01 | -1.245636524471e-01 2 | 10 | 1.873942317137e-01 | 6.283057926657e-02 2 | 11 | -2.810629192969e-01 | -2.182323400303e-01 2 | 12 | 4.309086557217e-01 | 2.126763156914e-01 2 | 13 | -6.732005937003e-01 | -4.605242780089e-01 2 | 14 | 1.069044967650e+00 | 6.085206896408e-01 2 | 15 | -1.722096726895e+00 | -1.113576037254e+00 2 | 16 | 2.809327846365e+00 | 1.695751809111e+00 2 | 17 | -4.634732387340e+00 | -2.938980578229e+00 2 | 18 | 7.723491668640e+00 | 4.784511090411e+00 2 | 19 | -1.298778925381e+01 | -8.203278163398e+00 2 | 20 | 2.201997760683e+01 | 1.381669944343e+01 2 | 21 | -3.761289429968e+01 | -2.379619485625e+01 2 | 22 | 6.468667660686e+01 | 4.089048175061e+01 2 | 23 | -1.119453236400e+02 | -7.105484188936e+01 2 | 24 | 1.948472277749e+02 | 1.237923858855e+02 2 | 25 | -3.409483513692e+02 | -2.171559654837e+02 2 | 26 | 5.995413192964e+02 | 3.823853538127e+02 2 | 27 | -1.059092779406e+03 | -6.767074255936e+02 2 | 28 | 1.878871586371e+03 | 1.202164160777e+03 2 | 29 | -3.346461198391e+03 | -2.144297037613e+03 2 | 30 | 5.982590921443e+03 | 3.838293883830e+03 2 | 31 | -1.073265573633e+04 | -6.894361852503e+03 2 | 32 | 1.931737545782e+04 | 1.242301360531e+04 2 | 33 | -3.487616743063e+04 | -2.245315382531e+04 2 | 34 | 6.314993265581e+04 | 4.069677883049e+04 2 | 35 | -1.146596611181e+05 | -7.396288228760e+04 2 | 36 | 2.087266023230e+05 | 1.347637200354e+05 2 | 37 | -3.809036694331e+05 | -2.461399493978e+05 2 | 38 | 6.967356984673e+05 | 4.505957490695e+05 2 | 39 | -1.277279545008e+06 | -8.266837959385e+05 2 | 40 | 2.346507570464e+06 | 1.519823774526e+06 2 | 41 | -4.319490539199e+06 | -2.799666764673e+06 2 | 42 | 7.966675783626e+06 | 5.167009018954e+06 2 | 43 | -1.472034689053e+07 | -9.553337871574e+06 2 | 44 | 2.724708056790e+07 | 1.769374269633e+07 2 | 45 | -5.051844500498e+07 | -3.282470230865e+07 2 | 46 | 9.381605625830e+07 | 6.099135394965e+07 2 | 47 | -1.744908375115e+08 | -1.134994835618e+08 2 | 48 | 3.250193071481e+08 | 2.115198235863e+08 2 | 49 | -6.062632163899e+08 | -3.947433928036e+08 2 | 50 | 1.132412749012e+09 | 7.376693562089e+08 2 | 51 | -2.117956724223e+09 | -1.380287368014e+09 2 | 52 | 3.966220210687e+09 | 2.585932842673e+09 2 | 53 | -7.436417546082e+09 | -4.850484703410e+09 2 | 54 | 1.395914456396e+10 | 9.108659860546e+09 2 | 55 | -2.623275177237e+10 | -1.712409191182e+10 2 | 56 | 4.935165974363e+10 | 3.222756783181e+10 2 | 57 | -9.294291517194e+10 | -6.071534734014e+10 2 | 58 | 1.752152895106e+11 | 1.144999421705e+11 2 | 59 | -3.306391176599e+11 | -2.161391754894e+11 2 | 60 | 6.245238756149e+11 | 4.083847001255e+11 2 | 61 | -1.180709804616e+12 | -7.723251044904e+11 2 | 62 | 2.234209861852e+12 | 1.461884757361e+12 2 | 63 | -4.231354211838e+12 | -2.769469454476e+12 2 | 64 | 8.020435098971e+12 | 5.250965644494e+12 2 | 65 | -1.521488351438e+13 | -9.963917869885e+12 2 | 66 | 2.888557439125e+13 | 1.892165652136e+13 2 | 67 | -5.488138160399e+13 | -3.595972508263e+13 2 | 68 | 1.043496817213e+14 | 6.838995663871e+13 2 | 69 | -1.985500996141e+14 | -1.301601429754e+14 2 | 70 | 3.780534339158e+14 | 2.478932909404e+14 2 | 71 | -7.203307214259e+14 | -4.724374304856e+14 2 | 72 | 1.373403912933e+15 | 9.009664824470e+14 2 | 73 | -2.620260459310e+15 | -1.719293976863e+15 2 | 74 | 5.002222927145e+15 | 3.282928950282e+15 2 | 75 | -9.555355902322e+15 | -6.272426952040e+15 2 | 76 | 1.826371267677e+16 | 1.199128572473e+16 2 | 77 | -3.492874886678e+16 | -2.293746314205e+16 2 | 78 | 6.683783894209e+16 | 4.390037580004e+16 2 | 79 | -1.279679035646e+17 | -8.406752776456e+16 2 | 80 | 2.451393907892e+17 | 1.610718630246e+17 2 | 81 | -4.698431096485e+17 | -3.087712466239e+17 2 | 82 | 9.009793972798e+17 | 5.922081506559e+17 2 | 83 | -1.728597246130e+18 | -1.136389095474e+18 2 | 84 | 3.318063086371e+18 | 2.181673990897e+18 2 | 85 | -6.372097476070e+18 | -4.190423485173e+18 2 | 86 | 1.224284595476e+19 | 8.052422469587e+18 2 | 87 | -2.353314531376e+19 | -1.548072284417e+19 2 | 88 | 4.525543607355e+19 | 2.977471322938e+19 2 | 89 | -8.706636914222e+19 | -5.729165591284e+19 2 | 90 | 1.675771781450e+20 | 1.102855222321e+20 2 | 91 | -3.226710955344e+20 | -2.123855733023e+20 2 | 92 | 6.215586669846e+20 | 4.091730936823e+20 2 | 93 | -1.197780687995e+21 | -7.886075943122e+20 2 | 94 | 2.309095880558e+21 | 1.520488286246e+21 2 | 95 | -4.453203919428e+21 | -2.932715633182e+21 2 | 96 | 8.591435621808e+21 | 5.658719988626e+21 2 | 97 | -1.658128287867e+22 | -1.092256289004e+22 2 | 98 | 3.201301198559e+22 | 2.109044909555e+22 2 | 99 | -6.182837781218e+22 | -4.073792871663e+22 2 | 100 | 1.194535472997e+23 | 7.871561858307e+22 2 | 101 | -2.308645236036e+23 | -1.521489050206e+23 2 | 102 | 4.463334686394e+23 | 2.941845636188e+23 2 | 103 | -8.631833285476e+23 | -5.689987649288e+23 2 | 104 | 1.669880078336e+24 | 1.100881313407e+24 2 | 105 | -3.231495549426e+24 | -2.130614236019e+24 2 | 106 | 6.255403680386e+24 | 4.124789444367e+24 2 | 107 | -1.211262169395e+25 | -7.987832249584e+24 2 | 108 | 2.346116633004e+25 | 1.547333408046e+25 2 | 109 | -4.545559448945e+25 | -2.998226040899e+25 2 | 110 | 8.809456439886e+25 | 5.811230398987e+25 2 | 111 | -1.707783050210e+26 | -1.126660010312e+26 2 | 112 | 3.311585322210e+26 | 2.184925311899e+26 2 | 113 | -6.423278717405e+26 | -4.238353405506e+26 2 | 114 | 1.246215396086e+27 | 8.223800555357e+26 2 | 115 | -2.418482760265e+27 | -1.596102704729e+27 2 | 116 | 4.694663627057e+27 | 3.098560922328e+27 2 | 117 | -9.115398879398e+27 | -6.016837957070e+27 2 | 118 | 1.770332109837e+28 | 1.168648314130e+28 2 | 119 | -3.439061104709e+28 | -2.270412790579e+28 2 | 120 | 6.682352243128e+28 | 4.411939452549e+28 2 | 121 | -1.298737725025e+29 | -8.575437797702e+28 2 | 122 | 2.524727439894e+29 | 1.667183660123e+29 2 | 123 | -4.909156439446e+29 | -3.241972779323e+29 2 | 124 | 9.547660865573e+29 | 6.305688086250e+29 2 | 125 | -1.857305259758e+30 | -1.226736451133e+30 2 | 126 | 3.613801319766e+30 | 2.387064868633e+30 2 | 127 | -7.032965029560e+30 | -4.645900160927e+30 2 | 128 | 1.369003010742e+31 | 9.044129946492e+30 2 | 129 | -2.665389598216e+31 | -1.760976603567e+31 2 | 130 | 5.190461410538e+31 | 3.429484806971e+31 2 | 131 | -1.010971380248e+32 | -6.680228995509e+31 2 | 132 | 1.969509440877e+32 | 1.301486541326e+32 2 | 133 | -3.837622902986e+32 | -2.536136361659e+32 2 | 134 | 7.479116440186e+32 | 4.942980078527e+32 2 | 135 | -1.457876813680e+33 | -9.635788058272e+32 2 | 136 | 2.842318206241e+33 | 1.878739400414e+33 2 | 137 | -5.542487491116e+33 | -3.663748090701e+33 2 | 138 | 1.080975252314e+34 | 7.146004432438e+33 2 | 139 | -2.108650771850e+34 | -1.394050328606e+34 2 | 140 | 4.114057354725e+34 | 2.720007026120e+34 2 | 141 | -8.028080523266e+34 | -5.308073497146e+34 2 | 142 | 1.566851132385e+35 | 1.036043782670e+35 2 | 143 | -3.058562464960e+35 | -2.022518682289e+35 2 | 144 | 5.971446727299e+35 | 3.948928045009e+35 2 | 145 | -1.166039777523e+36 | -7.711469730218e+35 2 | 146 | 2.277287135822e+36 | 1.506140162800e+36 2 | 147 | -4.448277681082e+36 | -2.942137518282e+36 2 | 148 | 8.690299085732e+36 | 5.748161567450e+36 2 | 149 | -1.698030074131e+37 | -1.123213917386e+37 2 | 150 | 3.318355847562e+37 | 2.195141930176e+37 2 | 151 | -6.485845202445e+37 | -4.290703272269e+37 2 | 152 | 1.267871922820e+38 | 8.388015955933e+37 Доданків обчислено: 152; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 2: 8.388015955933e+37 === Зовнішній параметр x = 3 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 3 | 1 | -1.111111111111e-01 | -1.111111111111e-01 3 | 2 | 9.943689110436e-02 | -1.167422000675e-02 3 | 3 | -1.247076581450e-01 | -1.363818781517e-01 3 | 4 | 1.875000000000e-01 | 5.111812184829e-02 3 | 5 | -3.168306230510e-01 | -2.657125012027e-01 3 | 6 | 5.812753979456e-01 | 3.155628967429e-01 3 | 7 | -1.133893419028e+00 | -8.183305222848e-01 3 | 8 | 2.319663795682e+00 | 1.501333273398e+00 3 | 9 | -4.929376408715e+00 | -3.428043135318e+00 3 | 10 | 1.080609569186e+01 | 7.378052556539e+00 3 | 11 | -2.431125633041e+01 | -1.693320377387e+01 3 | 12 | 5.590882004526e+01 | 3.897561627139e+01 3 | 13 | -1.310179675476e+02 | -9.204235127622e+01 3 | 14 | 3.120855065841e+02 | 2.200431553079e+02 3 | 15 | -7.540956353522e+02 | -5.340524800443e+02 3 | 16 | 1.845281250000e+03 | 1.311228769956e+03 3 | 17 | -4.566422240924e+03 | -3.255193470968e+03 3 | 18 | 1.141448562260e+04 | 8.159292151636e+03 3 | 19 | -2.879182241672e+04 | -2.063253026509e+04 3 | 20 | 7.322207873330e+04 | 5.258954846821e+04 3 | 21 | -1.876087948617e+05 | -1.350192463935e+05 3 | 22 | 4.839745651502e+05 | 3.489553187568e+05 3 | 23 | -1.256333425317e+06 | -9.073781065605e+05 3 | 24 | 3.280080093448e+06 | 2.372701986887e+06 3 | 25 | -8.609344200000e+06 | -6.236642213113e+06 3 | 26 | 2.270867812918e+07 | 1.647203591606e+07 3 | 27 | -6.017249252653e+07 | -4.370045661047e+07 3 | 28 | 1.601224963774e+08 | 1.164220397670e+08 3 | 29 | -4.277916529821e+08 | -3.113696132152e+08 3 | 30 | 1.147168146144e+09 | 8.357985329286e+08 3 | 31 | -3.086997158736e+09 | -2.251198625807e+09 3 | 32 | 8.334286212680e+09 | 6.083087586873e+09 3 | 33 | -2.257045440797e+10 | -1.648736682110e+10 3 | 34 | 6.130214904101e+10 | 4.481478221991e+10 3 | 35 | -1.669570339805e+11 | -1.221422517605e+11 3 | 36 | 4.558932160209e+11 | 3.337509642604e+11 3 | 37 | -1.247934357093e+12 | -9.141833928323e+11 3 | 38 | 3.424016959029e+12 | 2.509833566197e+12 3 | 39 | -9.415536263929e+12 | -6.905702697732e+12 3 | 40 | 2.594611400023e+13 | 1.904041130250e+13 3 | 41 | -7.164306352362e+13 | -5.260265222112e+13 3 | 42 | 1.982029086737e+14 | 1.456002564525e+14 3 | 43 | -5.493412151373e+14 | -4.037409586847e+14 3 | 44 | 1.525230124612e+15 | 1.121489165927e+15 3 | 45 | -4.241862938937e+15 | -3.120373773010e+15 3 | 46 | 1.181612534036e+16 | 8.695751567353e+15 3 | 47 | -3.296566210005e+16 | -2.426991053269e+16 3 | 48 | 9.210635476546e+16 | 6.783644423277e+16 3 | 49 | -2.577109743727e+17 | -1.898745301400e+17 3 | 50 | 7.220507158868e+17 | 5.321761857469e+17 3 | 51 | -2.025682115831e+18 | -1.493505930084e+18 3 | 52 | 5.690131382064e+18 | 4.196625451980e+18 3 | 53 | -1.600296652783e+19 | -1.180634107586e+19 3 | 54 | 4.505954416153e+19 | 3.325320308568e+19 3 | 55 | -1.270173646619e+20 | -9.376416157624e+19 3 | 56 | 3.584365347975e+20 | 2.646723732213e+20 3 | 57 | -1.012553679692e+21 | -7.478813064706e+20 3 | 58 | 2.863287951600e+21 | 2.115406645129e+21 3 | 59 | -8.104729369516e+21 | -5.989322724386e+21 3 | 60 | 2.296278658353e+22 | 1.697346385914e+22 3 | 61 | -6.511933727220e+22 | -4.814587341306e+22 3 | 62 | 1.848340696783e+23 | 1.366881962652e+23 3 | 63 | -5.250839005177e+23 | -3.883957042525e+23 3 | 64 | 1.492926779978e+24 | 1.104531075725e+24 3 | 65 | -4.248156136026e+24 | -3.143625060301e+24 3 | 66 | 1.209773607305e+25 | 8.954111012754e+24 3 | 67 | -3.447778782119e+25 | -2.552367680843e+25 3 | 68 | 9.833242386891e+25 | 7.280874706048e+25 3 | 69 | -2.806512521036e+26 | -2.078425050431e+26 3 | 70 | 8.015697534028e+26 | 5.937272483597e+26 3 | 71 | -2.290927420344e+27 | -1.697200171984e+27 3 | 72 | 6.551925226338e+27 | 4.854725054354e+27 3 | 73 | -1.875022028254e+28 | -1.389549522819e+28 3 | 74 | 5.369281980333e+28 | 3.979732457515e+28 3 | 75 | -1.538478022949e+29 | -1.140504777197e+29 3 | 76 | 4.410875040850e+29 | 3.270370263652e+29 3 | 77 | -1.265347982455e+30 | -9.383109560897e+29 3 | 78 | 3.631956228074e+30 | 2.693645271985e+30 3 | 79 | -1.043062952890e+31 | -7.736984256920e+30 3 | 80 | 2.997186908246e+31 | 2.223488482554e+31 3 | 81 | -8.616776842562e+31 | -6.393288360008e+31 3 | 82 | 2.478552386960e+32 | 1.839223550959e+32 3 | 83 | -7.132935853066e+32 | -5.293712302107e+32 3 | 84 | 2.053763350992e+33 | 1.524392120781e+33 3 | 85 | -5.916153456690e+33 | -4.391761335909e+33 3 | 86 | 1.705024656802e+34 | 1.265848523211e+34 3 | 87 | -4.916086483527e+34 | -3.650237960315e+34 3 | 88 | 1.418082674167e+35 | 1.053058878135e+35 3 | 89 | -4.092347360742e+35 | -3.039288482607e+35 3 | 90 | 1.181484934065e+36 | 8.775560858048e+35 3 | 91 | -3.412436964142e+36 | -2.534880878337e+36 3 | 92 | 9.860023720540e+36 | 7.325142842203e+36 3 | 93 | -2.850128223517e+37 | -2.117613939297e+37 3 | 94 | 8.241766718169e+37 | 6.124152778872e+37 3 | 95 | -2.384197306057e+38 | -1.771782028170e+38 Доданків обчислено: 95; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 3: -1.771782028170e+38 === Зовнішній параметр x = 4 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 4 | 1 | -1.481481481481e-01 | -1.481481481481e-01 4 | 2 | 1.767766952966e-01 | 2.862854714849e-02 4 | 3 | -2.956033378251e-01 | -2.669747906766e-01 4 | 4 | 5.925925925926e-01 | 3.256178019160e-01 4 | 5 | -1.335121637877e+00 | -1.009503835961e+00 4 | 6 | 3.265986323711e+00 | 2.256482487749e+00 4 | 7 | -8.494608951692e+00 | -6.238126463942e+00 4 | 8 | 2.317047500592e+01 | 1.693234854198e+01 4 | 9 | -6.565088905585e+01 | -4.871854051387e+01 4 | 10 | 1.918916932748e+02 | 1.431731527609e+02 4 | 11 | -5.756168587200e+02 | -4.324437059591e+02 4 | 12 | 1.765001853836e+03 | 1.332558147877e+03 4 | 13 | -5.514859263593e+03 | -4.182301115716e+03 4 | 14 | 1.751523274997e+04 | 1.333293163426e+04 4 | 15 | -5.642966554689e+04 | -4.309673391264e+04 4 | 16 | 1.841121097394e+05 | 1.410153758267e+05 4 | 17 | -6.074836434734e+05 | -4.664682676466e+05 4 | 18 | 2.024666999984e+06 | 1.558198732337e+06 4 | 19 | -6.809342052301e+06 | -5.251143319964e+06 4 | 20 | 2.308962003906e+07 | 1.783847671909e+07 4 | 21 | -7.887995650636e+07 | -6.104147978727e+07 4 | 22 | 2.713155864388e+08 | 2.102741066516e+08 4 | 23 | -9.390654374488e+08 | -7.287913307972e+08 4 | 24 | 3.268994027381e+09 | 2.540202696583e+09 4 | 25 | -1.144032827153e+10 | -8.900125574947e+09 4 | 26 | 4.023453685904e+10 | 3.133441128409e+10 4 | 27 | -1.421490265931e+11 | -1.108146153090e+11 4 | 28 | 5.043557510529e+11 | 3.935411357439e+11 4 | 29 | -1.796617675553e+12 | -1.403076539809e+12 4 | 30 | 6.423758088236e+12 | 5.020681548427e+12 4 | 31 | -2.304820269339e+13 | -1.802752114496e+13 4 | 32 | 8.296749583587e+13 | 6.493997469091e+13 4 | 33 | -2.995839970487e+14 | -2.346440223578e+14 4 | 34 | 1.084907582005e+15 | 8.502635596474e+14 4 | 35 | -3.939675957381e+15 | -3.089412397734e+15 4 | 36 | 1.434358289252e+16 | 1.125417049478e+16 4 | 37 | -5.235100170054e+16 | -4.109683120575e+16 4 | 38 | 1.915172504878e+17 | 1.504204192821e+17 4 | 39 | -7.021918558284e+17 | -5.517714365463e+17 4 | 40 | 2.580012358390e+18 | 2.028240921844e+18 4 | 41 | -9.498660147835e+18 | -7.470419225991e+18 4 | 42 | 3.503781063528e+19 | 2.756739140928e+19 4 | 43 | -1.294815405683e+20 | -1.019141491590e+20 4 | 44 | 4.793357105177e+20 | 3.774215613587e+20 4 | 45 | -1.777459766404e+21 | -1.400038205046e+21 4 | 46 | 6.601718062598e+21 | 5.201679857552e+21 4 | 47 | -2.455740221238e+22 | -1.935572235483e+22 4 | 48 | 9.148480191002e+22 | 7.212907955519e+22 4 | 49 | -3.412958494277e+23 | -2.691667698725e+23 4 | 50 | 1.274983408621e+24 | 1.005816638748e+24 4 | 51 | -4.769214556999e+24 | -3.763397918251e+24 4 | 52 | 1.786226786292e+25 | 1.409886994467e+25 4 | 53 | -6.698129457901e+25 | -5.288242463435e+25 4 | 54 | 2.514655930266e+26 | 1.985831683922e+26 4 | 55 | -9.451344888555e+26 | -7.465513204633e+26 4 | 56 | 3.556161862904e+27 | 2.809610542441e+27 4 | 57 | -1.339448570032e+28 | -1.058487515788e+28 4 | 58 | 5.050236880318e+28 | 3.991749364530e+28 4 | 59 | -1.906004745072e+29 | -1.506829808619e+29 4 | 60 | 7.200270063369e+29 | 5.693440254750e+29 4 | 61 | -2.722531448884e+30 | -2.153187423409e+30 4 | 62 | 1.030347438213e+31 | 8.150286958726e+30 4 | 63 | -3.902735411549e+31 | -3.087706715677e+31 4 | 64 | 1.479509136305e+32 | 1.170738464737e+32 4 | 65 | -5.613301246021e+32 | -4.442562781284e+32 4 | 66 | 2.131379192870e+33 | 1.687122914741e+33 4 | 67 | -8.099062406883e+33 | -6.411939492142e+33 4 | 68 | 3.079858996619e+34 | 2.438665047404e+34 4 | 69 | -1.172032919485e+35 | -9.281664147447e+34 4 | 70 | 4.463267162644e+35 | 3.535100747899e+35 4 | 71 | -1.700832827722e+36 | -1.347322752932e+36 4 | 72 | 6.485716605875e+36 | 5.138393852943e+36 4 | 73 | -2.474766033886e+37 | -1.960926648592e+37 4 | 74 | 9.448931956396e+37 | 7.488005307804e+37 4 | 75 | -3.609911395601e+38 | -2.861110864821e+38 Доданків обчислено: 75; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 4: -2.861110864821e+38 === Зовнішній параметр x = 5 === x | k | елемент ряду a(k) | накопичена сума -------+--------+------------------------+------------------------ 5 | 1 | -1.851851851852e-01 | -1.851851851852e-01 5 | 2 | 2.762135864010e-01 | 9.102840121581e-02 5 | 3 | -5.773502691896e-01 | -4.863218679738e-01 5 | 4 | 1.446759259259e+00 | 9.604373912854e-01 5 | 5 | -4.074467889030e+00 | -3.114030497745e+00 5 | 6 | 1.245874909863e+01 | 9.344718600884e+00 5 | 7 | -4.050545192571e+01 | -3.116073332483e+01 5 | 8 | 1.381067932005e+02 | 1.069460598757e+02 5 | 9 | -4.891372401703e+02 | -3.821911802946e+02 5 | 10 | 1.787130658280e+03 | 1.404939477986e+03 5 | 11 | -6.701062185690e+03 | -5.296122707705e+03 5 | 12 | 2.568415735493e+04 | 2.038803464723e+04 5 | 13 | -1.003147056252e+05 | -7.992667097799e+04 5 | 14 | 3.982502846605e+05 | 3.183236136825e+05 5 | 15 | -1.603827557429e+06 | -1.285503943746e+06 5 | 16 | 6.540976107039e+06 | 5.255472163293e+06 5 | 17 | -2.697769312269e+07 | -2.172222095940e+07 5 | 18 | 1.123915960291e+08 | 9.066937506965e+07 5 | 19 | -4.724930205633e+08 | -3.818236454937e+08 5 | 20 | 2.002705296657e+09 | 1.620881651163e+09 5 | 21 | -8.552182020976e+09 | -6.931300369813e+09 5 | 22 | 3.677011853077e+10 | 2.983881816096e+10 5 | 23 | -1.590838730294e+11 | -1.292450548684e+11 5 | 24 | 6.922364113922e+11 | 5.629913565238e+11 5 | 25 | -3.028229679185e+12 | -2.465238322661e+12 5 | 26 | 1.331249153794e+13 | 1.084725321528e+13 5 | 27 | -5.879145944556e+13 | -4.794420623028e+13 5 | 28 | 2.607458119379e+14 | 2.128016057076e+14 5 | 29 | -1.161036960459e+15 | -9.482353547512e+14 5 | 30 | 5.189070459297e+15 | 4.240835104545e+15 5 | 31 | -2.327273733174e+16 | -1.903190222720e+16 5 | 32 | 1.047197021904e+17 | 8.568779996322e+16 5 | 33 | -4.726602062032e+17 | -3.869724062400e+17 5 | 34 | 2.139602943054e+18 | 1.752630536814e+18 5 | 35 | -9.712051068804e+18 | -7.959420531989e+18 5 | 36 | 4.419957728400e+19 | 3.624015675201e+19 5 | 37 | -2.016487235875e+20 | -1.654085668354e+20 5 | 38 | 9.221220189531e+20 | 7.567134521177e+20 5 | 39 | -4.226163505765e+21 | -3.469450053647e+21 5 | 40 | 1.940985569497e+22 | 1.594040564132e+22 5 | 41 | -8.932497075329e+22 | -7.338456511196e+22 5 | 42 | 4.118674846695e+23 | 3.384829195575e+23 5 | 43 | -1.902560243422e+24 | -1.564077323864e+24 5 | 44 | 8.804006560327e+24 | 7.239929236462e+24 5 | 45 | -4.080847488715e+25 | -3.356854565069e+25 5 | 46 | 1.894600168043e+26 | 1.558914711536e+26 5 | 47 | -8.809536002052e+26 | -7.250621290515e+26 5 | 48 | 4.102320397618e+27 | 3.377258268567e+27 5 | 49 | -1.913029398734e+28 | -1.575303571877e+28 5 | 50 | 8.933161462698e+28 | 7.357857890821e+28 5 | 51 | -4.176933146724e+29 | -3.441147357642e+29 5 | 52 | 1.955497541068e+30 | 1.611382805303e+30 5 | 53 | -9.166092307819e+30 | -7.554709502515e+30 5 | 54 | 4.301493522200e+31 | 3.546022571949e+31 5 | 55 | -2.020897686483e+32 | -1.666295429288e+32 5 | 56 | 9.504783930547e+32 | 7.838488501258e+32 5 | 57 | -4.475038586207e+33 | -3.691189736081e+33 5 | 58 | 2.109077329894e+34 | 1.739958356286e+34 5 | 59 | -9.949809023235e+34 | -8.209850666949e+34 5 | 60 | 4.698395441530e+35 | 3.877410374835e+35 5 | 61 | -2.220668328458e+36 | -1.832927290975e+36 5 | 62 | 1.050520428463e+37 | 8.672276993658e+36 5 | 63 | -4.973932972343e+37 | -4.106705272978e+37 5 | 64 | 2.356994037494e+38 | 1.946323510196e+38 Доданків обчислено: 64; зупинка: елемент ряду перевищив 1e+38 (ряд розбігається) Внутрішня сума при x = 5: 1.946323510196e+38 ============================================================ Загальна сума ряду: -1.847767787201e+38 УВАГА: для деяких значень x внутрішній ряд розбігається (|a(k)| ~ x^k / k^3.5 необмежено зростає при x > 1), тому підсумовування припинено за порогом переповнення 1e+38. Загальна сума в цьому разі не має скінченного значення.