# What is the limit of cos(1/x) as x goes to infinity?

${\lim}_{x \rightarrow \infty} \cos \left(\frac{1}{x}\right) = 1$
${\lim}_{x \rightarrow \infty} \frac{1}{x} = 0$
${\lim}_{x \rightarrow \infty} \cos \left(\frac{1}{x}\right) = \cos \left({\lim}_{x \rightarrow \infty} \frac{1}{x}\right) = \cos 0 = 1$