Prove that $(n!)^{2}>(n)^n$ using inequality
2554
Show that if $n>2$, then $(n!)^2>n^n$.
148451
Polynomial inequality proof
8609
Prove by induction that $n!>2^n$
120309
Number Theory Inequality Proof
106767
$|p(z)| \leq M$ for $|z| \leq 1$ Show that $|p(z)| \leq M|z|^n$ for $|z| \geq 1$
27147
Proving $n! > n^3$ for all $n > a$
138819
Prove that $\phi(n) \geq \sqrt{n}/2$
147785
Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
129890
Proving inequality $|\sin(n\theta) |\le n\sin\theta$
13330
Inductive Proof that $k!<k^k$, for $k\geq 2$.
143357
Comparing $2^n$ to $n!$
1478
An inequality for powers of reals: $a^{1/n}-b^{1/n}<(a-b)^{1/n}$
12781
Prove the following inequality $\sqrt[n]{x_1x_2...x_n}\ge (n-1)$
45914
Proving that $n!≤((n+1)/2)^n$ by induction
4970
For $n \geq 2$, show that $n \nmid 2^{n}-1$
10629
How to prove $4(n!)>2^{n+2}$ for $ n\geq 4$ with induction
143968
Proving this inequality by mathematical induction