List questions from factorial

Published on 07 May 2013 - 6:53

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Two Questions about Gamma Function Terminology

Published on 08 May 2013 - 9:36

296

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Factorial Equality Problem

Published on 09 May 2013 - 15:42

1.5k

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Prove that $(a+1)(a+2)...(a+b)$ is divisible by $b!$

Published on 09 May 2013 - 22:54

70

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Looking for suggestions on how to proceed with showing that:

Published on 25 Mar 2026 - 21:01

147

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Trying to show that $\ln(x!) - \ln(\lfloor\frac{x}{2}\rfloor!) - \ln(\lfloor\frac{x}{3}\rfloor!) - \ln(\lfloor\frac{x}{6}\rfloor!) \ge \psi(x)$

Published on 25 Mar 2026 - 13:46

287

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How to prove $(\frac{n+1}{e})^n<n!<e(\frac{n+1}{e})^{n+1}$ without integrating method?

Published on 12 May 2013 - 14:58

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Factorial of infinity

Published on 30 Mar 2026 - 1:28

136

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What is $\frac{(an)!}{n!}$?

Published on 15 May 2013 - 12:50

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Simplify summation with factorial and binomial coefficients

Published on 15 May 2013 - 20:51

1.3k

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Last non zero digit of $n!$

Published on 18 May 2013 - 17:08

157.7k

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How to find the factorial of a fraction?

Published on 20 May 2013 - 3:03

221

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proving $n!>2^n\;\;\forall \;n≥4\;$ by mathematical induction

Published on 20 May 2013 - 18:01

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limits of sequences exponential and factorial: $a_n=e^{5\cos((\pi/6)^n)}$ and $a_n=\frac{n!}{n^n}$

Published on 21 May 2013 - 5:09

127

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Double summation including power and factorial

Published on 21 May 2013 - 17:38

List Question

Simple question during a proof. Reducing a factorial...

Two Questions about Gamma Function Terminology

Factorial Equality Problem

Prove that $(a+1)(a+2)...(a+b)$ is divisible by $b!$

Looking for suggestions on how to proceed with showing that:

Trying to show that $\ln(x!) - \ln(\lfloor\frac{x}{2}\rfloor!) - \ln(\lfloor\frac{x}{3}\rfloor!) - \ln(\lfloor\frac{x}{6}\rfloor!) \ge \psi(x)$

How to prove $(\frac{n+1}{e})^n<n!<e(\frac{n+1}{e})^{n+1}$ without integrating method?

Factorial of infinity

What is $\frac{(an)!}{n!}$?

Simplify summation with factorial and binomial coefficients

Last non zero digit of $n!$

How to find the factorial of a fraction?

proving $n!>2^n\;\;\forall \;n≥4\;$ by mathematical induction

limits of sequences exponential and factorial: $a_n=e^{5\cos((\pi/6)^n)}$ and $a_n=\frac{n!}{n^n}$

Double summation including power and factorial

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