Question

set of pointwise convergence of series

score 74 · Answer 1 · 2026-02-24 05:36:04

74

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set of pointwise convergence of series

Published on 24 Feb 2026 - 5:36

score 121 · Answer 2 · 2026-04-09 06:19:32

121

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Cauchy product for power series of different powers

Published on 09 Apr 2026 - 6:19

score 66 · Answer 3 · 2026-03-30 03:37:55

66

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$\sum_{n=1}^\infty b_n x^n$ vs. $\sum_{n=1}^\infty |b_n| x^n$

Published on 30 Mar 2026 - 3:37

score 156 · Answer 4 · 2026-04-01 05:21:39

156

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Double Summation indexes problem

Published on 01 Apr 2026 - 5:21

score 142 · Answer 5 · 2020-04-04 19:47:18

142

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Expansion about $x=1$ for $\sum_{n=2}^\infty \frac{x^n}{n\log n}$

Published on 04 Apr 2020 - 19:47

score 62 · Answer 6 · 2026-03-28 11:48:15

62

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Complex nested radicals ${\Re}\Big(\sqrt{1+\frac{i}{2}\sqrt{1+\frac{i}{2^2}\sqrt{1+\frac{i}{2^3}\sqrt{1+\frac{i}{2^4}\sqrt{\cdots}}}}}\Big)=1$

Published on 28 Mar 2026 - 11:48

score 38 · Answer 7 · 2026-03-30 03:38:26

38

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Does $\sum_{k=0}^{\infty}\frac{1}{(k+1)!}\left(\prod_{l=0}^{k}\left(1-ls\right)\right) x^{k+1}$ converge?

Published on 30 Mar 2026 - 3:38

score 58 · Answer 8 · 2020-04-05 17:07:16

58

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Convergence of the complex power series $\sum_{n=1}^\infty \dfrac{1\cdot 3\cdot 5\cdots (2n-1)}{2\cdot 4\cdots (2n)}z^n$

Published on 05 Apr 2020 - 17:07

score 114 · Answer 9 · 2026-04-09 06:08:49

114

Views

The second solution for $xy''+y=0$.

Published on 09 Apr 2026 - 6:08

score 213 · Answer 10 · 2026-04-07 08:05:59

213

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Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Published on 07 Apr 2026 - 8:05

score 429 · Answer 11 · 2026-03-27 00:04:33

429

Views

Series solution of IVP $y' = \sqrt{1-y^{2}}$

Published on 27 Mar 2026 - 0:04

score 35 · Answer 12 · 2026-04-09 03:24:03

35

Views

What are the conventions for choosing the second series while Comparison Testing

Published on 09 Apr 2026 - 3:24

score 43 · Answer 13 · 2020-04-08 12:55:20

43

Views

What is the radius of convergence of $S$?

Published on 08 Apr 2020 - 12:55

score 327 · Answer 14 · 2020-04-08 20:26:00

327

Views

Why does a Power series converge at its centre even if the ratio test yields a limit that does not exist?

Published on 08 Apr 2020 - 20:26

score 135 · Answer 15 · 2026-03-30 03:39:17

135

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Convergence of this series: $\sum_{n=1}^{\infty}\frac{\sin(n)\sin(n^2)}{\sqrt{2n^2+1}}(x-1)^{2n}$?

Published on 30 Mar 2026 - 3:39

List Question

set of pointwise convergence of series

Cauchy product for power series of different powers

$\sum_{n=1}^\infty b_n x^n$ vs. $\sum_{n=1}^\infty |b_n| x^n$

Double Summation indexes problem

Expansion about $x=1$ for $\sum_{n=2}^\infty \frac{x^n}{n\log n}$

Complex nested radicals ${\Re}\Big(\sqrt{1+\frac{i}{2}\sqrt{1+\frac{i}{2^2}\sqrt{1+\frac{i}{2^3}\sqrt{1+\frac{i}{2^4}\sqrt{\cdots}}}}}\Big)=1$

Does $\sum_{k=0}^{\infty}\frac{1}{(k+1)!}\left(\prod_{l=0}^{k}\left(1-ls\right)\right) x^{k+1}$ converge?

Convergence of the complex power series $\sum_{n=1}^\infty \dfrac{1\cdot 3\cdot 5\cdots (2n-1)}{2\cdot 4\cdots (2n)}z^n$

The second solution for $xy''+y=0$.

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Series solution of IVP $y' = \sqrt{1-y^{2}}$

What are the conventions for choosing the second series while Comparison Testing

What is the radius of convergence of $S$?

Why does a Power series converge at its centre even if the ratio test yields a limit that does not exist?

Convergence of this series: $\sum_{n=1}^{\infty}\frac{\sin(n)\sin(n^2)}{\sqrt{2n^2+1}}(x-1)^{2n}$?

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