Show that n! is equal to the recursive derangement.
98514
Prove by induction that the number of derangements of length $n$ is $D_n = (n-1)(D_{n-1}+D_{n-2}), n>2$
55340
Prove that $r^n/n!$ converges where $n\ge r$
65672
Proof of the summation $n!=\sum_{k=0}^n \binom{n}{k}(n-k+1)^n(-1)^k$?
66946
show that $(i+k)! > i!k!$ algebraically
96361
Limit of $n$th root of $n$!
97684
Show $\frac{(2n)!}{n!\cdot 2^n}$ is an integer for $n$ greater than or equal to $0$
100947
Prove that $\sqrt[n]{n!}$ is increasing and diverges
136274
$n! \leq \left( \frac{n+1}{2} \right)^n$ via induction
36436
Proving $\sum_{k=1}^n k k!=(n+1)!-1$
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
145519
Prove that for any natural number $n>1$, we have $(2n)!<(n(n+1))^n$
135469
Showing Equality of Winding Numbers
27580
Use mathematical induction to prove $ (2n)!\geq 2^n(n!)^2$ for $n \in \mathbb{N}$
79847
proving of inequality $(n!)^2 \leq n^n\cdot n!\leq (2n!)$, where $n\in \mathbb{N}$
121880
How to show that $|D_{2n}| = 2n$ via the presentation?
3043
Prove $n!>2^n$ for $n\geq4$ using induction.
60405
Showing a recursive sequence isn't bounded $a_{n+1}=a_n+\frac 1 {a_n}$