Question

How to find $\lim_{n\to \infty}{\frac{n^{n-1}}{n!}}$

score 100 · Answer 1 · 2015-11-25 23:00:04

100

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How to find $\lim_{n\to \infty}{\frac{n^{n-1}}{n!}}$

Published on 25 Nov 2015 - 23:00

score 1k · Answer 2 · 2015-11-26 04:14:00

1k

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In layman's terms, what is a multifactorial? - $x\underbrace{!!\cdots!}_{n\text{ times} }$

Published on 26 Nov 2015 - 4:14

score 88 · Answer 3 · 2015-11-26 19:40:14

88

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How many ways to arrange 10 values in a vector of length 50?

Published on 26 Nov 2015 - 19:40

score 69 · Answer 4 · 2026-03-06 07:54:30

69

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Is there a formula to find the exact value of inverse factorials?

Published on 06 Mar 2026 - 7:54

score 90 · Answer 5 · 2015-11-28 08:43:40

90

Views

Is there an efficient way to calculate $a! \bmod b$ for arbitrarily large $a < b$?

Published on 28 Nov 2015 - 8:43

score 326 · Answer 6 · 2026-04-02 10:09:22

326

Views

Hat check problem. Ten friends total, five with sombreros, five with fedoras.

Published on 02 Apr 2026 - 10:09

score 444 · Answer 7 · 2015-11-28 21:07:37

444

Views

$n! > (n/e)^{n}$ for all $n \geq 1$ by induction

Published on 28 Nov 2015 - 21:07

score 183 · Answer 8 · 2026-04-02 10:10:54

183

Views

Let $\left(\!\!{n\choose k}\!\!\right)=\binom{n+k-1}k$, prove $\left(\!\!{n\choose k}\!\!\right)=\sum_{i=0}^k\ \left(\!\!{n-1\choose i}\!\!\right)$

Published on 02 Apr 2026 - 10:10

score 149 · Answer 9 · 2026-04-02 04:28:45

149

Views

Prove $n! \leq n^n$

Published on 02 Apr 2026 - 4:28

score 176 · Answer 10 · 2026-03-31 14:24:55

176

Views

Evaluate $\lim\limits_{n\to \infty} {\frac{(2n-1)!!}{(2n)!!}}$

Published on 31 Mar 2026 - 14:24

score 355 · Answer 11 · 2026-03-29 10:46:39

355

Views

Factorial Series Written As Recursive Definition

Published on 29 Mar 2026 - 10:46

score 370 · Answer 12 · 2026-03-27 18:26:47

370

Views

Uniquely identify any finite subset of an infinite set

Published on 27 Mar 2026 - 18:26

score 238 · Answer 13 · 2015-12-03 10:40:58

238

Views

How to show $\sum_{k=n}^\infty{\frac{1}{k!}} \leq \frac{2}{n!}$

Published on 03 Dec 2015 - 10:40

score 1.2k · Answer 14 · 2015-12-03 19:39:53

1.2k

Views

Use mathematical induction to prove the following $n! < n^n$

Published on 03 Dec 2015 - 19:39

score 86 · Answer 15 · 2015-12-05 15:14:35

86

Views

How do I simplify the equation $1 + 0.79 + 0.79^2 + 0.79^3+\ldots$

Published on 05 Dec 2015 - 15:14

List Question

How to find $\lim_{n\to \infty}{\frac{n^{n-1}}{n!}}$

In layman's terms, what is a multifactorial? - $x\underbrace{!!\cdots!}_{n\text{ times} }$

How many ways to arrange 10 values in a vector of length 50?

Is there a formula to find the exact value of inverse factorials?

Is there an efficient way to calculate $a! \bmod b$ for arbitrarily large $a < b$?

Hat check problem. Ten friends total, five with sombreros, five with fedoras.

$n! > (n/e)^{n}$ for all $n \geq 1$ by induction

Let $\left(\!\!{n\choose k}\!\!\right)=\binom{n+k-1}k$, prove $\left(\!\!{n\choose k}\!\!\right)=\sum_{i=0}^k\ \left(\!\!{n-1\choose i}\!\!\right)$

Prove $n! \leq n^n$

Evaluate $\lim\limits_{n\to \infty} {\frac{(2n-1)!!}{(2n)!!}}$

Factorial Series Written As Recursive Definition

Uniquely identify any finite subset of an infinite set

How to show $\sum_{k=n}^\infty{\frac{1}{k!}} \leq \frac{2}{n!}$

Use mathematical induction to prove the following $n! < n^n$

How do I simplify the equation $1 + 0.79 + 0.79^2 + 0.79^3+\ldots$

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