# Use the squeezing theorem to find the limit of the sequence $\cos(n)/n!$

Is anyone able to help me answer this question? Or point me in the right direction?

Use the squeezing theorem to find the limit of the sequence $\{a_n\}_{n=1}^{\infty}$ with $n$-th term $a_n=\dfrac{\cos(n)}{n!}$.

$-1\leq\cos{n}\leq 1$ so $$\frac{-1}{n!}\leq\frac{\cos{n}}{n!}\leq\frac{1}{n!}$$ holds for every n, and then take the limit.
• $\cos n$ can be negative – ruler501 Mar 24 '14 at 4:30