Question

Can't find a seemingly simple limit $\lim_{n\to\infty}\frac{(n+k)!}{n^n}$

score 106 · Answer 1 · 2019-01-07 15:37:49

106

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Can't find a seemingly simple limit $\lim_{n\to\infty}\frac{(n+k)!}{n^n}$

Published on 07 Jan 2019 - 15:37

score 82 · Answer 2 · 2019-01-08 14:57:23

82

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When can $\,x\bmod m\,$ be computed from $\,x\bmod n?$

Published on 08 Jan 2019 - 14:57

score 71 · Answer 3 · 2019-01-09 04:12:19

71

Views

Check if $k$ is divisible by $2^9$ or $2^{10}$

Published on 09 Jan 2019 - 4:12

score 473 · Answer 4 · 2019-01-10 01:42:44

473

Views

Longest sequence of consecutive integers which are not coprime with $n!$

Published on 10 Jan 2019 - 1:42

score 122 · Answer 5 · 2019-01-10 20:36:52

122

Views

$(\frac{n}{e})^{n} < n! < (\frac{n}{e} + n\varepsilon)^{n}$ doesn't comply with the limit definition?

Published on 10 Jan 2019 - 20:36

score 214 · Answer 6 · 2019-01-19 02:32:05

214

Views

Finding sum to infinity: $\sum\limits_{n = 1}^{ \infty}\frac{n^2}{n!}$

Published on 19 Jan 2019 - 2:32

score 185 · Answer 7 · 2019-01-19 14:13:47

185

Views

Can the sum of the first $p$ factorials ever be a perfect power for $\ p>3\ $?

Published on 19 Jan 2019 - 14:13

score 59 · Answer 8 · 2026-03-25 07:49:25

59

Views

Need help showing Riemann's Functional equation for negative numbers and complex numbers

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score 486 · Answer 9 · 2019-01-25 17:24:53

486

Views

How to prove $ \frac{m!}{n!} \geq n^{m-n} $

Published on 25 Jan 2019 - 17:24

score 91 · Answer 10 · 2026-03-25 20:13:54

91

Views

prove that [p!/(p-4)!] + 1 is a perfect square for all natural p.

Published on 25 Mar 2026 - 20:13

score 1k · Answer 11 · 2019-01-30 10:59:25

1k

Views

How to calculate 15! without using calculator

Published on 30 Jan 2019 - 10:59

score 176 · Answer 12 · 2019-01-31 00:31:40

176

Views

How do I find sum of digits of a given factorial with missing digits?

Published on 31 Jan 2019 - 0:31

score 512 · Answer 13 · 2026-03-25 06:19:12

512

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Finding an Inverse of Restricted Gamma Function

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score 217 · Answer 14 · 2019-02-03 13:11:44

217

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Help with proving an equation factorial-time complexity

Published on 03 Feb 2019 - 13:11

score 607 · Answer 15 · 2019-02-03 17:36:36

607

Views

Counting number of occurrences of a number in a factorial

Published on 03 Feb 2019 - 17:36

List Question

Can't find a seemingly simple limit $\lim_{n\to\infty}\frac{(n+k)!}{n^n}$

When can $\,x\bmod m\,$ be computed from $\,x\bmod n?$

Check if $k$ is divisible by $2^9$ or $2^{10}$

Longest sequence of consecutive integers which are not coprime with $n!$

$(\frac{n}{e})^{n} < n! < (\frac{n}{e} + n\varepsilon)^{n}$ doesn't comply with the limit definition?

Finding sum to infinity: $\sum\limits_{n = 1}^{ \infty}\frac{n^2}{n!}$

Can the sum of the first $p$ factorials ever be a perfect power for $\ p>3\ $?

Need help showing Riemann's Functional equation for negative numbers and complex numbers

How to prove $ \frac{m!}{n!} \geq n^{m-n} $

prove that [p!/(p-4)!] + 1 is a perfect square for all natural p.

How to calculate 15! without using calculator

How do I find sum of digits of a given factorial with missing digits?

Finding an Inverse of Restricted Gamma Function

Help with proving an equation factorial-time complexity

Counting number of occurrences of a number in a factorial

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