List questions from factorial

Published on 15 Sep 2017 - 2:29

36

Views

Help me to understand the simplifications

Published on 15 Sep 2017 - 16:08

155

Views

Proving $3^n < n!$ for some $n\in \mathbb{N}$

Published on 16 Sep 2017 - 1:23

63

Views

Prove that $(\frac{n+1}{4})^{n+1} < n!$ by induction

Published on 16 Sep 2017 - 5:23

2.3k

Views

What is the remainder when $p!$ is divided by $p+1$?

Published on 16 Sep 2017 - 9:50

474

Views

Find n from the equation

Published on 16 Sep 2017 - 14:38

1.1k

Views

Find the limit of a sequence with factorial in it

Published on 16 Sep 2017 - 20:36

88

Views

Product of infinite terms $\lim_{n\to\infty}\left(\frac{(n+1)(n+2)...(3n)}{n^{2n}}\right)$

Published on 18 Sep 2017 - 3:10

434

Views

$a!b!$ multiple of $a! + b!$ implies $3a\geq 2b + 2$

Published on 18 Sep 2017 - 19:27

90

Views

Show that $n!^{1\over n}$ is increasing

Published on 19 Sep 2017 - 1:38

570

Views

Prove that $n!^{\frac{1}{n}}$ is unbounded

Published on 19 Sep 2017 - 2:17

2.1k

Views

Asymptotic growth of factorial and exponential

Published on 19 Sep 2017 - 14:58

142

Views

Prove that for $n \ge 2$ the follow inequality holds $\frac {4^n}{n+1} \lt \frac{(2n)!}{(n!)^2}$.

Published on 20 Sep 2017 - 13:24

311

Views

Lower bound on a ratio of factorials

Published on 07 Apr 2026 - 22:50

166

Views

For $n \in \mathbb{N}$, prove that $\int_{0}^{\infty}x^{n}e^{-x}dx=n!$

Published on 22 Sep 2017 - 1:31

List Question

How to prove n! is equivalent to $n^n$?

Help me to understand the simplifications

Proving $3^n < n!$ for some $n\in \mathbb{N}$

Prove that $(\frac{n+1}{4})^{n+1} < n!$ by induction

What is the remainder when $p!$ is divided by $p+1$?

Find n from the equation

Find the limit of a sequence with factorial in it

Product of infinite terms $\lim_{n\to\infty}\left(\frac{(n+1)(n+2)...(3n)}{n^{2n}}\right)$

$a!b!$ multiple of $a! + b!$ implies $3a\geq 2b + 2$

Show that $n!^{1\over n}$ is increasing

Prove that $n!^{\frac{1}{n}}$ is unbounded

Asymptotic growth of factorial and exponential

Prove that for $n \ge 2$ the follow inequality holds $\frac {4^n}{n+1} \lt \frac{(2n)!}{(n!)^2}$.

Lower bound on a ratio of factorials

For $n \in \mathbb{N}$, prove that $\int_{0}^{\infty}x^{n}e^{-x}dx=n!$

Trending Questions

Popular # Hahtags

Popular Questions