List questions from factorial

Published on 25 Mar 2026 - 9:53

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Check the convergence of series

Published on 02 Apr 2026 - 20:54

422

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Combinatorics - find $n!$ using inclusion-exclusion

Published on 03 Apr 2026 - 6:21

377

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Induction: $n^{n+1} > (n+1)^n$ and $(n!)^2 \leq \left(\frac{(n + 1)(2n + 1)}{6}\right)^n$

Published on 09 Dec 2013 - 23:51

114

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Why doesn't $0! = 1$ in the context of this general term?

Published on 10 Dec 2013 - 18:03

69

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Logic of statement

Published on 11 Dec 2013 - 9:38

113

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When is the permutation of two integers equal to a factorial?

Published on 11 Dec 2013 - 9:53

3.1k

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Which is greater, $300 !$ or $(300^{300})^\frac {1}{2}$?

Published on 25 Mar 2026 - 11:16

71

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Language to describe a number smaller than, but related to Bell number

Published on 12 Dec 2013 - 9:55

73

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$B_{i}^{n}(x)={{n}\choose{i}}x^i(1-x)^{n-i}$, prove that $B_{i}^{n}(cu)=\sum\limits_{j=0}^{n}B_{i}^{j}(c)B_{j}^{n}(u)$

Published on 12 Dec 2013 - 20:20

268

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Bernstein polynomial looks like this: $B_i^n={{n}\choose{i}}x^i(1-x)^{n-i}$.Find it's $r$'th derivative.

Published on 13 Dec 2013 - 23:23

663

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Factorial limit from gamma function calculation

Published on 14 Dec 2013 - 16:51

160

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Problem finding limit - which function is asymptotically larger

Published on 16 Dec 2013 - 15:15

295

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Which is larger :: $y!$ or $x^y$, for numbers $x,y$.

Published on 16 Dec 2013 - 15:41

1.7k

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How does $(k+1)!(k+2)-1 = (k+2)!-1$?

Published on 17 Dec 2013 - 16:58

List Question

Last digits of factorial

Check the convergence of series

Combinatorics - find $n!$ using inclusion-exclusion

Induction: $n^{n+1} > (n+1)^n$ and $(n!)^2 \leq \left(\frac{(n + 1)(2n + 1)}{6}\right)^n$

Why doesn't $0! = 1$ in the context of this general term?

Logic of statement

When is the permutation of two integers equal to a factorial?

Which is greater, $300 !$ or $(300^{300})^\frac {1}{2}$?

Language to describe a number smaller than, but related to Bell number

$B_{i}^{n}(x)={{n}\choose{i}}x^i(1-x)^{n-i}$, prove that $B_{i}^{n}(cu)=\sum\limits_{j=0}^{n}B_{i}^{j}(c)B_{j}^{n}(u)$

Bernstein polynomial looks like this: $B_i^n={{n}\choose{i}}x^i(1-x)^{n-i}$.Find it's $r$'th derivative.

Factorial limit from gamma function calculation

Problem finding limit - which function is asymptotically larger

Which is larger :: $y!$ or $x^y$, for numbers $x,y$.

How does $(k+1)!(k+2)-1 = (k+2)!-1$?

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