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Infinite series with harmonic numbers related to elliptic integrals

score 507 · Answer 1 · 2026-04-09 19:23:21

507

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Infinite series with harmonic numbers related to elliptic integrals

Published on 09 Apr 2026 - 19:23

score 52 · Answer 2 · 2026-04-12 04:09:37

52

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Continued Fraction Convergent Sequence

Published on 12 Apr 2026 - 4:09

score 161 · Answer 3 · 2026-04-12 01:30:43

161

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To what value does the following series converge to?

Published on 12 Apr 2026 - 1:30

score 86 · Answer 4 · 2026-04-11 23:01:14

86

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Non-aritho geometric series

Published on 11 Apr 2026 - 23:01

score 199 · Answer 5 · 2026-04-12 06:45:40

199

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$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

Published on 12 Apr 2026 - 6:45

score 615 · Answer 6 · 2026-04-10 13:27:13

615

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Alternate proof for Viète's infinite product of nested radicals

Published on 10 Apr 2026 - 13:27

score 91 · Answer 7 · 2026-03-25 13:56:55

91

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Convergence of $\sum_{n=1}^\infty \frac{1}{n^\alpha \ln(1+n^\beta)}$

Published on 25 Mar 2026 - 13:56

score 137 · Answer 8 · 2026-04-10 19:48:23

137

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How to numerically compute value of a function given as a infinite series

Published on 10 Apr 2026 - 19:48

score 94 · Answer 9 · 2026-03-25 03:03:51

94

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About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

Published on 25 Mar 2026 - 3:03

score 66 · Answer 10 · 2026-04-10 23:55:54

66

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How to solve the following with substitution…

Published on 10 Apr 2026 - 23:55

score 402 · Answer 11 · 2026-04-09 00:09:06

402

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If $f$ is continuous with irrational period $\xi$ and $\int_0^\xi f(x)\,dx = 0$, is it possible that $f(1)+f(2)+f(3)+\cdots=\infty$?

Published on 09 Apr 2026 - 0:09

score 456 · Answer 12 · 2018-02-03 06:53:14

456

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Find the sum of the series $\sum_{n=1}^{\infty}\frac{1}{2^n-1}.$

Published on 03 Feb 2018 - 6:53

score 44 · Answer 13 · 2018-02-03 10:49:36

44

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Convergence of $\sum\limits_{n=2}^{\infty}\frac{(n^3+1)^\frac13-n}{\log n}$

Published on 03 Feb 2018 - 10:49

score 1.1k · Answer 14 · 2018-02-03 12:21:05

1.1k

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Find the nth term of the given series

Published on 03 Feb 2018 - 12:21

score 575 · Answer 15 · 2026-04-09 02:10:13

575

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Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

Published on 09 Apr 2026 - 2:10

List Question

Infinite series with harmonic numbers related to elliptic integrals

Continued Fraction Convergent Sequence

To what value does the following series converge to?

Non-aritho geometric series

$\sqrt{\frac{\pi e}{2}}=\frac{1}{1+\mathrm{K}_{i=1}^{\infty}{\frac{i}{1}}}+\sum_{n=0}^{\infty}{\frac{1}{(2n+1)!!}}$ implies $\sqrt{\pi e/2}\notin Q$?

Alternate proof for Viète's infinite product of nested radicals

Convergence of $\sum_{n=1}^\infty \frac{1}{n^\alpha \ln(1+n^\beta)}$

How to numerically compute value of a function given as a infinite series

About an equivalent of $\displaystyle \int_{0}^{+\infty}\frac{\text{d}x}{\left(\alpha^2+x^2\right)^n}$ [ Checking a result ]

How to solve the following with substitution…

If $f$ is continuous with irrational period $\xi$ and $\int_0^\xi f(x)\,dx = 0$, is it possible that $f(1)+f(2)+f(3)+\cdots=\infty$?

Find the sum of the series $\sum_{n=1}^{\infty}\frac{1}{2^n-1}.$

Convergence of $\sum\limits_{n=2}^{\infty}\frac{(n^3+1)^\frac13-n}{\log n}$

Find the nth term of the given series

Asymptotic equivalent of $\sum_{n\ge0} q^{n^2}{x^n}$ as $x\to+\infty$

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