Question

How to identify the coefficient of $x^k$ in $1/(1-x)^N$ where $N$ can be a large integer

score 5.5k · Answer 1 · 2026-04-15 04:05:50

5.5k

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How to identify the coefficient of $x^k$ in $1/(1-x)^N$ where $N$ can be a large integer

Published on 15 Apr 2026 - 4:05

score 12.2k · Answer 2 · 2026-04-13 12:00:48

12.2k

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Formula for finite power series

Published on 13 Apr 2026 - 12:00

score 749 · Answer 3 · 2026-04-10 13:46:51

749

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Conditions on exponential function with natural exponent in the case of series of functions

Published on 10 Apr 2026 - 13:46

score 60 · Answer 4 · 2026-04-11 01:19:53

60

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Replace general term of function series with sum of even and odd one

Published on 11 Apr 2026 - 1:19

score 49 · Answer 5 · 2026-04-16 16:21:27

49

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Radius of convergence of $ \sum^{\infty}_{n=0}\left(\frac{5^n + (-1)^n}{n^3}\right)(x-2)^n $

Published on 16 Apr 2026 - 16:21

score 118 · Answer 6 · 2026-04-16 17:59:56

118

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Absolute convergence of series $f_n(x)+g_n(x)$ implies convergence of series $f_n(x)$ and $g_n(x)$?

Published on 16 Apr 2026 - 17:59

score 176 · Answer 7 · 2026-04-12 02:10:37

176

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genral question about centre of Laurent series

Published on 12 Apr 2026 - 2:10

score 67 · Answer 8 · 2026-04-17 09:55:04

67

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Radius of convergence of $\sum_{n=0}^{\infty} \frac{w^{2^n}}{2^n}$

Published on 17 Apr 2026 - 9:55

score 1.7k · Answer 9 · 2026-04-15 16:37:18

1.7k

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Coefficients of a formal power series satisfying $\exp(f(z)) = 1 + f(q\,z)/q$

Published on 15 Apr 2026 - 16:37

score 2.4k · Answer 10 · 2026-04-13 05:15:46

2.4k

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Proving Hermite polynomials satisfy hermite equation

Published on 13 Apr 2026 - 5:15

score 39 · Answer 11 · 2026-04-16 14:40:25

39

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Finding the power series of: $G(t) = \frac{1+3t}{5-t^2}$

Published on 16 Apr 2026 - 14:40

score 91 · Answer 12 · 2026-04-14 13:26:13

91

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Power series expansions to find a limit.

Published on 14 Apr 2026 - 13:26

score 39 · Answer 13 · 2026-04-15 18:42:16

39

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How would I test for convergence at the following interval - $\sum\limits_{n=1}^\infty \frac{x^n}{\sqrt n}$

Published on 15 Apr 2026 - 18:42

score 7.6k · Answer 14 · 2026-04-13 17:38:26

7.6k

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When is it invalid to use taylor series expansion?

Published on 13 Apr 2026 - 17:38

score 178 · Answer 15 · 2026-04-16 18:48:53

178

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determine whether the series convergence $\sum _{n=1}^{\infty \:}\frac{i^n}{n}$

Published on 16 Apr 2026 - 18:48

List Question

How to identify the coefficient of $x^k$ in $1/(1-x)^N$ where $N$ can be a large integer

Formula for finite power series

Conditions on exponential function with natural exponent in the case of series of functions

Replace general term of function series with sum of even and odd one

Radius of convergence of $ \sum^{\infty}_{n=0}\left(\frac{5^n + (-1)^n}{n^3}\right)(x-2)^n $

Absolute convergence of series $f_n(x)+g_n(x)$ implies convergence of series $f_n(x)$ and $g_n(x)$?

genral question about centre of Laurent series

Radius of convergence of $\sum_{n=0}^{\infty} \frac{w^{2^n}}{2^n}$

Coefficients of a formal power series satisfying $\exp(f(z)) = 1 + f(q\,z)/q$

Proving Hermite polynomials satisfy hermite equation

Finding the power series of: $G(t) = \frac{1+3t}{5-t^2}$

Power series expansions to find a limit.

How would I test for convergence at the following interval - $\sum\limits_{n=1}^\infty \frac{x^n}{\sqrt n}$

When is it invalid to use taylor series expansion?

determine whether the series convergence $\sum _{n=1}^{\infty \:}\frac{i^n}{n}$

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