Find the limit of $\lim_{n\to\infty}{a^n/n!}$ $$\lim_{n\to\infty}\frac{a^n}{n!}$$
$a>0, n\in N$
If possible, a solution through the squeeze theorem. Not sure how to solve it.

We know $$\mathrm{e}^x = \sum_{n=0}^{\infty} \frac{ x^n }{n!} $$
Has radius of convergence $R=\infty$. Thus, it better converge for $x=a$. It follows then that 
$$ \lim_{n \to \infty} \frac{ a^n }{n!} = 0 $$
