List questions from factorial

Published on 26 Feb 2018 - 22:29

40

Views

Why does $\Gamma (x)\ne x!$ on $x\in\mathbb N$?

Published on 01 Mar 2018 - 0:49

92

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Understanding an inductive proof that $ \sum_{i=1}^n i\times i! = (n +1)!-1$

Published on 01 Mar 2018 - 13:53

1.2k

Views

Prove that every positive integer $m$ can be written in 'base factorial' form

Published on 02 Mar 2018 - 5:17

1.4k

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Some simple inequalities on factorials

Published on 02 Mar 2018 - 16:58

82

Views

Inequality and induction.

Published on 05 Mar 2018 - 17:25

364

Views

How to prove that $ \frac{(99)!!}{(100)!!} < \frac{1}{10}$

Published on 08 Mar 2018 - 0:55

46

Views

Simplification with factorials

Published on 08 Mar 2018 - 16:42

143

Views

How to go about proving that $(\frac{n}{3})^n$ $\leq$ $\frac{n!}{3}$ for $n \in \mathbb{N}_{>0}$

Published on 09 Mar 2018 - 7:29

126

Views

Finding the Big $\Theta$ of inverse factorial

Published on 09 Mar 2018 - 9:50

76

Views

Sum of the factorial series

Published on 10 Mar 2018 - 18:51

75

Views

unequal factorial equation

Published on 12 Mar 2018 - 2:20

147

Views

If $1!+2!+\dots+x!$ is a perfect square, then the number of possible values of $x$ is?

Published on 12 Mar 2018 - 11:24

177

Views

Potential and factorial limit that tends to infinity

Published on 22 Mar 2026 - 6:13

103

Views

Smallest prime of the form $68^k+k!+1$?

Published on 15 Mar 2018 - 0:10

List Question

Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$

Why does $\Gamma (x)\ne x!$ on $x\in\mathbb N$?

Understanding an inductive proof that $ \sum_{i=1}^n i\times i! = (n +1)!-1$

Prove that every positive integer $m$ can be written in 'base factorial' form

Some simple inequalities on factorials

Inequality and induction.

How to prove that $ \frac{(99)!!}{(100)!!} < \frac{1}{10}$

Simplification with factorials

How to go about proving that $(\frac{n}{3})^n$ $\leq$ $\frac{n!}{3}$ for $n \in \mathbb{N}_{>0}$

Finding the Big $\Theta$ of inverse factorial

Sum of the factorial series

unequal factorial equation

If $1!+2!+\dots+x!$ is a perfect square, then the number of possible values of $x$ is?

Potential and factorial limit that tends to infinity

Smallest prime of the form $68^k+k!+1$?

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