List questions from factorial

Published on 24 Jan 2012 - 1:27

3.2k

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A question on the Stirling approximation, and $\log(n!)$

Published on 28 Jan 2012 - 19:32

2.3k

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Why are $\limsup \sqrt[n]{1/n!}=0$ and $\limsup\sqrt[n]{n!}=\infty$?

Published on 30 Jan 2012 - 19:21

941

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Finding all the numbers that fit $x! + y! = z!$

Published on 05 Feb 2012 - 0:17

1.7k

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Prove that $n! > \sqrt{n^n}, n \geq 3$

Published on 05 Feb 2012 - 22:37

20.5k

Views

How to prove: $n! \times (n+1) = (n+1)!$

Published on 07 Feb 2012 - 23:50

1k

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How much of Stirling is in Stirling's formula?

Published on 08 Apr 2026 - 16:47

587

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On the Limit of Stirling's Approximation

Published on 18 Feb 2012 - 18:38

175.5k

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Prove by induction that $n!>2^n$

Published on 20 Feb 2012 - 1:15

6.8k

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Derive a formula to find the number of trailing zeroes in $n!$

Published on 01 Apr 2026 - 20:04

248

Views

What makes $0!$ equal to 1?

Published on 21 Feb 2012 - 13:59

1.1k

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What is the minimum number of friends Sally can have if she can invite a different group of friends to her house every night for a year?

Published on 21 Feb 2012 - 14:50

6.4k

Views

On the factorial equations $A! B! =C!$ and $A!B!C! = D!$

Published on 24 Feb 2012 - 0:23

140

Views

Determining the type of convergence of a series

Published on 25 Feb 2012 - 17:02

229

Views

Modular division issue

Published on 13 Mar 2012 - 19:52

List Question

Simple factorial

A question on the Stirling approximation, and $\log(n!)$

Why are $\limsup \sqrt[n]{1/n!}=0$ and $\limsup\sqrt[n]{n!}=\infty$?

Finding all the numbers that fit $x! + y! = z!$

Prove that $n! > \sqrt{n^n}, n \geq 3$

How to prove: $n! \times (n+1) = (n+1)!$

How much of Stirling is in Stirling's formula?

On the Limit of Stirling's Approximation

Prove by induction that $n!>2^n$

Derive a formula to find the number of trailing zeroes in $n!$

What makes $0!$ equal to 1?

What is the minimum number of friends Sally can have if she can invite a different group of friends to her house every night for a year?

On the factorial equations $A! B! =C!$ and $A!B!C! = D!$

Determining the type of convergence of a series

Modular division issue

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