Question

Trying to evaluate $\lim\limits_{n\in\mathbb{N}\to\infty}\left[n+\sum\limits_{k=1}^{\infty}\frac{(-1)^k}{k!}\frac{b^{nk}}{b^k-1}\right]$

score 82 · Answer 1 · 2019-02-03 05:06:28

82

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Trying to evaluate $\lim\limits_{n\in\mathbb{N}\to\infty}\left[n+\sum\limits_{k=1}^{\infty}\frac{(-1)^k}{k!}\frac{b^{nk}}{b^k-1}\right]$

Published on 03 Feb 2019 - 5:06

score 4k · Answer 2 · 2019-02-03 06:10:52

4k

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Summation of series using definite integral

Published on 03 Feb 2019 - 6:10

score 101 · Answer 3 · 2026-03-30 15:31:21

101

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How to solve $\frac{1}{12} + \frac{1}{23} + \frac{1}{3*4} + \dots + \frac{1}{n(n+1)} = \frac{n}{n+1}$

Published on 30 Mar 2026 - 15:31

score 66 · Answer 4 · 2026-04-01 07:44:48

66

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I want to learn about -1/12

Published on 01 Apr 2026 - 7:44

score 538 · Answer 5 · 2026-03-25 12:13:42

538

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Einstein Summation convention

Published on 25 Mar 2026 - 12:13

score 42 · Answer 6 · 2026-04-01 22:13:06

42

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notation for this summation

Published on 01 Apr 2026 - 22:13

score 49 · Answer 7 · 2026-03-26 04:52:41

49

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Need help finishing proving this summation inequality by induction

Published on 26 Mar 2026 - 4:52

score 202 · Answer 8 · 2026-03-26 17:53:48

202

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Prove that $1+b+(1+c)+1/c+1+a \ge 3$ if $a, b,$ and $c$ are positive real numbers.

Published on 26 Mar 2026 - 17:53

score 535 · Answer 9 · 2026-03-25 20:09:47

535

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Solving a recurrence relation: can't figure out how to convert from summation

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score 64 · Answer 10 · 2026-03-26 03:11:17

64

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How to find the partial sum when a series uses $\operatorname{ceil}$?

Published on 26 Mar 2026 - 3:11

score 130 · Answer 11 · 2019-02-05 21:06:25

130

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Inequality with two sums

Published on 05 Feb 2019 - 21:06

score 191 · Answer 12 · 2026-03-26 09:42:25

191

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Express $\sum_{a=1}^{p-1} \lfloor{(v+qa)/p}\rfloor$ in closed form.

Published on 26 Mar 2026 - 9:42

score 46 · Answer 13 · 2026-03-28 01:35:15

46

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Prove that the logarithm family of sums diverges?

Published on 28 Mar 2026 - 1:35

score 446 · Answer 14 · 2019-02-06 11:42:35

446

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Finding the sum of $\sum_{n=1}^{\infty } \frac{4^{n}}{n\left ( 2n+1 \right )\binom{2n}{n}}$

Published on 06 Feb 2019 - 11:42

score 873 · Answer 15 · 2026-03-29 11:43:05

873

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Tight Upper Bound for $\sum_{i=1}^ni \log i$

Published on 29 Mar 2026 - 11:43

List Question

Trying to evaluate $\lim\limits_{n\in\mathbb{N}\to\infty}\left[n+\sum\limits_{k=1}^{\infty}\frac{(-1)^k}{k!}\frac{b^{nk}}{b^k-1}\right]$

Summation of series using definite integral

How to solve $\frac{1}{12} + \frac{1}{23} + \frac{1}{3*4} + \dots + \frac{1}{n(n+1)} = \frac{n}{n+1}$

I want to learn about -1/12

Einstein Summation convention

notation for this summation

Need help finishing proving this summation inequality by induction

Prove that $1+b+(1+c)+1/c+1+a \ge 3$ if $a, b,$ and $c$ are positive real numbers.

Solving a recurrence relation: can't figure out how to convert from summation

How to find the partial sum when a series uses $\operatorname{ceil}$?

Inequality with two sums

Express $\sum_{a=1}^{p-1} \lfloor{(v+qa)/p}\rfloor$ in closed form.

Prove that the logarithm family of sums diverges?

Finding the sum of $\sum_{n=1}^{\infty } \frac{4^{n}}{n\left ( 2n+1 \right )\binom{2n}{n}}$

Tight Upper Bound for $\sum_{i=1}^ni \log i$

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