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.

Choose $N\ge 2|a|$, then for $n > N$ we have
$| { |a|^n \over n!} | \le { |a|^N \over N!}{1 \over 2^{n-N}}$, from which 
it follows that $\lim_{n \to \infty} | { |a|^n \over n!} |  = 0$.
