Question

Estimating the difference of $\log 2$ and $\sum_{n=1}^{100}\frac{1}{n 2^n}$?

score 132 · Answer 1 · 2026-03-26 17:34:39

132

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Estimating the difference of $\log 2$ and $\sum_{n=1}^{100}\frac{1}{n 2^n}$?

Published on 26 Mar 2026 - 17:34

score 113 · Answer 2 · 2018-07-10 08:43:03

113

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Upper bound on $\sum_{n=1}^\infty q^{(n^2)}$

Published on 10 Jul 2018 - 8:43

score 144 · Answer 3 · 2026-03-25 06:00:19

144

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Conway's Complex Analysis: Radius of Convergence

Published on 25 Mar 2026 - 6:00

score 137 · Answer 4 · 2018-07-11 17:31:28

137

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Formula for coefficients of the product of a list of formal power series

Published on 11 Jul 2018 - 17:31

score 809 · Answer 5 · 2018-07-12 03:41:44

809

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Why are power series centered around 0

Published on 12 Jul 2018 - 3:41

score 106 · Answer 6 · 2018-07-13 15:04:27

106

Views

Given $a>0 $, let $\sum_{n=1}^{\infty}a^{n^{2}}(x-1)^{n}$ check for which values of $x$ as $x\in\mathbb{R}$, the power series converges.

Published on 13 Jul 2018 - 15:04

score 118 · Answer 7 · 2018-07-14 09:36:12

118

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If $g(x)=\sum_{n=1}^{\infty}\frac{x^n}{n(n+1)}$, then prove that $\lim\limits_{x\to 1^{-}}g(x)$ exists and find this limit

Published on 14 Jul 2018 - 9:36

score 2.6k · Answer 8 · 2018-07-14 16:51:54

2.6k

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Maclaurin series for $f(x)=\ln(1+\tan{x})$

Published on 14 Jul 2018 - 16:51

score 807 · Answer 9 · 2018-07-14 20:34:08

807

Views

Find the interval of convergence of the following series $\sum_{n=1}^{\infty}\frac{n^n x^n}{n!}$

Published on 14 Jul 2018 - 20:34

score 1.4k · Answer 10 · 2018-07-16 02:27:12

1.4k

Views

Solving ODE $y''+y'-2y=0$ using power series.

Published on 16 Jul 2018 - 2:27

score 98 · Answer 11 · 2026-03-19 22:13:24

98

Views

Does anyone know of a good expression for this Maclaurin series?

Published on 19 Mar 2026 - 22:13

score 88 · Answer 12 · 2026-03-25 16:14:04

88

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Expansion of $x$ in powers of $u$

Published on 25 Mar 2026 - 16:14

score 76 · Answer 13 · 2018-07-18 17:55:33

76

Views

can we define logarithm function $\log$ on $\mathbb C((T))$

Published on 18 Jul 2018 - 17:55

score 459 · Answer 14 · 2018-07-18 19:28:36

459

Views

Changing of index in sum notation

Published on 18 Jul 2018 - 19:28

score 1.8k · Answer 15 · 2026-03-26 23:10:59

1.8k

Views

nth power of sine as sum of sine and cosine terms

Published on 26 Mar 2026 - 23:10

List Question

Estimating the difference of $\log 2$ and $\sum_{n=1}^{100}\frac{1}{n 2^n}$?

Upper bound on $\sum_{n=1}^\infty q^{(n^2)}$

Conway's Complex Analysis: Radius of Convergence

Formula for coefficients of the product of a list of formal power series

Why are power series centered around 0

Given $a>0 $, let $\sum_{n=1}^{\infty}a^{n^{2}}(x-1)^{n}$ check for which values of $x$ as $x\in\mathbb{R}$, the power series converges.

If $g(x)=\sum_{n=1}^{\infty}\frac{x^n}{n(n+1)}$, then prove that $\lim\limits_{x\to 1^{-}}g(x)$ exists and find this limit

Maclaurin series for $f(x)=\ln(1+\tan{x})$

Find the interval of convergence of the following series $\sum_{n=1}^{\infty}\frac{n^n x^n}{n!}$

Solving ODE $y''+y'-2y=0$ using power series.

Does anyone know of a good expression for this Maclaurin series?

Expansion of $x$ in powers of $u$

can we define logarithm function $\log$ on $\mathbb C((T))$

Changing of index in sum notation

nth power of sine as sum of sine and cosine terms

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