Question

Infinite sum of $\frac{x^n}{n+1}$

score 1.1k · Answer 1 · 2019-02-13 12:05:27

Infinite sum of $\frac{x^n}{n+1}$

Published on 13 Feb 2019 - 12:05

score 83 · Answer 2 · 2019-02-13 17:22:13

Simplifying $\frac{{\sum_{i=1}^{i=n}}1+\tan^2\theta_i}{{\sum_{i=1}^{i=n}}1+\cot^2\theta_i}$, where $\theta_i = \frac{2^{i-1}\pi}{2^n+1}$

score 961 · Answer 3 · 2026-03-28 03:01:07

961

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How to convert the following sum to a geometric series?

Published on 28 Mar 2026 - 3:01

score 91 · Answer 4 · 2019-02-14 04:51:41

91

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Sum of #s on dice.

Published on 14 Feb 2019 - 4:51

score 744 · Answer 5 · 2026-03-30 20:56:01

744

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Proof by induction with square root in denominator: $\frac1{2\sqrt1}+\frac1{3\sqrt2}+\dots+ \frac1{(n+1)\sqrt n} < 2-\frac2{\sqrt{(n+1)}}$

Published on 30 Mar 2026 - 20:56

score 103 · Answer 6 · 2026-03-29 13:49:26

103

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Binomial sum having positive and negative terms

Published on 29 Mar 2026 - 13:49

score 30 · Answer 7 · 2019-02-15 09:17:21

30

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Understanding the intuition behind the direct proof of the closed form expression for the sum S of the first n positive integers.

Published on 15 Feb 2019 - 9:17

score 152 · Answer 8 · 2026-03-27 04:55:02

152

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Estimate for multiple harmonic sum

Published on 27 Mar 2026 - 4:55

score 424 · Answer 9 · 2026-03-25 23:11:05

424

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If integration is a continuous analog of summation (Addition), what is the continuous analog of multiplication (Product)?

Published on 25 Mar 2026 - 23:11

score 224 · Answer 10 · 2026-03-26 11:01:19

224

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Finite double sum $\sum_{k=0}^N\sum_{l=0}^M\left\lfloor\frac{k+l}{c}\right\rfloor$; any advanced summation technique?

Published on 26 Mar 2026 - 11:01

score 102 · Answer 11 · 2026-03-29 13:50:01

102

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Evaluating a sum (alternating binomial series with odd denominators)

Published on 29 Mar 2026 - 13:50

score 1.1k · Answer 12 · 2026-03-29 13:27:53

1.1k

Views

find the upper and lower bound for a finite sum

Published on 29 Mar 2026 - 13:27

score 143 · Answer 13 · 2026-03-29 13:27:46

143

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Upper and Lower bound of a finite sum

Published on 29 Mar 2026 - 13:27

score 123 · Answer 14 · 2026-03-25 07:47:49

123

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Do these polynomials with harmonic number-related coefficients lie in some particular known class?

Published on 25 Mar 2026 - 7:47

score 54 · Answer 15 · 2019-02-17 05:09:16

54

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Evaluate $\sum_{k=1}^n\log(x ^ {\frac{k}{2k+1}} )$

Published on 17 Feb 2019 - 5:09

List Question

Infinite sum of $\frac{x^n}{n+1}$

Simplifying $\frac{{\sum_{i=1}^{i=n}}1+\tan^2\theta_i}{{\sum_{i=1}^{i=n}}1+\cot^2\theta_i}$, where $\theta_i = \frac{2^{i-1}\pi}{2^n+1}$

How to convert the following sum to a geometric series?

Sum of #s on dice.

Proof by induction with square root in denominator: $\frac1{2\sqrt1}+\frac1{3\sqrt2}+\dots+ \frac1{(n+1)\sqrt n} < 2-\frac2{\sqrt{(n+1)}}$

Binomial sum having positive and negative terms

Understanding the intuition behind the direct proof of the closed form expression for the sum S of the first n positive integers.

Estimate for multiple harmonic sum

If integration is a continuous analog of summation (Addition), what is the continuous analog of multiplication (Product)?

Finite double sum $\sum_{k=0}^N\sum_{l=0}^M\left\lfloor\frac{k+l}{c}\right\rfloor$; any advanced summation technique?

Evaluating a sum (alternating binomial series with odd denominators)

find the upper and lower bound for a finite sum

Upper and Lower bound of a finite sum

Do these polynomials with harmonic number-related coefficients lie in some particular known class?

Evaluate $\sum_{k=1}^n\log(x ^ {\frac{k}{2k+1}} )$

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