Question

How do you find the sum of this infinite series?

score 63 · Answer 1 · 2026-04-11 07:53:14

63

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How do you find the sum of this infinite series?

Published on 11 Apr 2026 - 7:53

score 233 · Answer 2 · 2020-12-02 05:45:19

233

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Closed form of $\sum_{k=1}^{n}k!$

Published on 02 Dec 2020 - 5:45

score 75 · Answer 3 · 2026-04-11 13:43:27

75

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Closed-form solution to an infinite series?

Published on 11 Apr 2026 - 13:43

score 240 · Answer 4 · 2020-12-06 08:14:39

240

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Evaluate $\lim\limits_{n\to\infty} \frac{\sin(1)+\sin^2(\frac{1}{2})+\ldots+\sin^n(\frac{1}{n})}{\frac{1}{1!}+\frac{1}{2!}+\ldots+\frac{1}{n!}}$

Published on 06 Dec 2020 - 8:14

score 241 · Answer 5 · 2020-12-10 18:45:00

241

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Evaluating $\int_0^\infty\sqrt{\frac{x-1}{x^n-1}}\,dx$

Published on 10 Dec 2020 - 18:45

score 24 · Answer 6 · 2026-03-31 05:32:19

24

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What is the Laplace transform of $\exp(a\times t^n)$?

Published on 31 Mar 2026 - 5:32

score 87 · Answer 7 · 2026-04-11 12:56:28

87

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If $r>0$ and $r\notin \mathbb{N}$, is there a simple method to evaluate $ \sum_{n=\lceil r \rceil}^{\infty} {\binom{n}{r}^{-1}}?$

Published on 11 Apr 2026 - 12:56

score 442 · Answer 8 · 2026-03-26 01:04:43

442

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Closed form of the sum $\sum_{n=1}^{\infty}\frac{H_n}{n^x}$

Published on 26 Mar 2026 - 1:04

score 42 · Answer 9 · 2026-04-11 12:19:59

42

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How i can find closed form for the following sum?

Published on 11 Apr 2026 - 12:19

score 178 · Answer 10 · 2026-03-25 11:03:20

178

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Is there a closed-form expression for $\prod_{n=1}^{\infty}(1-\frac{x}{n^3})$?

Published on 25 Mar 2026 - 11:03

score 106 · Answer 11 · 2026-04-11 06:48:20

106

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Closed form of a sum with a falling factorial

Published on 11 Apr 2026 - 6:48

score 223 · Answer 12 · 2020-12-16 08:36:55

Tricky Integral $\int_{0}^{\pi/2} \left[\frac{\sec^2 \theta}{2}\cdot \exp(\frac{\sec^2 \theta}{2})\right]^{-1} d\theta$ - Brain Slayer

score 195 · Answer 13 · 2020-12-17 03:15:29

195

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Evaluating $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{(-1)^{k-1}}{n^2\left(k^2-2n^2 \right)}$

Published on 17 Dec 2020 - 3:15

score 53 · Answer 14 · 2026-04-09 17:47:54

53

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Does the sum $\sum_{k\ge 0}A(n,k)k^t$ have a closed form?

Published on 09 Apr 2026 - 17:47

score 204 · Answer 15 · 2020-12-18 04:19:04

204

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Closed forms for functions involved in calculating $\int_{x}^{\infty}\frac{e^{-at}}{t^{n}\left(e^{-t}\pm1\right)}dt$

Published on 18 Dec 2020 - 4:19

List Question

How do you find the sum of this infinite series?

Closed form of $\sum_{k=1}^{n}k!$

Closed-form solution to an infinite series?

Evaluate $\lim\limits_{n\to\infty} \frac{\sin(1)+\sin^2(\frac{1}{2})+\ldots+\sin^n(\frac{1}{n})}{\frac{1}{1!}+\frac{1}{2!}+\ldots+\frac{1}{n!}}$

Evaluating $\int_0^\infty\sqrt{\frac{x-1}{x^n-1}}\,dx$

What is the Laplace transform of $\exp(a\times t^n)$?

If $r>0$ and $r\notin \mathbb{N}$, is there a simple method to evaluate $ \sum_{n=\lceil r \rceil}^{\infty} {\binom{n}{r}^{-1}}?$

Closed form of the sum $\sum_{n=1}^{\infty}\frac{H_n}{n^x}$

How i can find closed form for the following sum?

Is there a closed-form expression for $\prod_{n=1}^{\infty}(1-\frac{x}{n^3})$?

Closed form of a sum with a falling factorial

Tricky Integral $\int_{0}^{\pi/2} \left[\frac{\sec^2 \theta}{2}\cdot \exp(\frac{\sec^2 \theta}{2})\right]^{-1} d\theta$ - Brain Slayer

Evaluating $\sum_{n=1}^\infty\sum_{k=1}^\infty\frac{(-1)^{k-1}}{n^2\left(k^2-2n^2 \right)}$

Does the sum $\sum_{k\ge 0}A(n,k)k^t$ have a closed form?

Closed forms for functions involved in calculating $\int_{x}^{\infty}\frac{e^{-at}}{t^{n}\left(e^{-t}\pm1\right)}dt$

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