# Show that $e^n>\frac{(n+1)^n}{n!}$ [duplicate]

My brother give me a question that was

To show that

$$e^n>\frac{(n+1)^n}{n!}$$ where $n\in \mathbb Z^+$

• $n \in \Bbb Z$? not in $\Bbb N$? Do you what is $n!$ for $n<0$? – Arnaldo Dec 20 '16 at 16:35