Determining limit using squeeze theorem.

How do I apply the squeeze theorem for finding the limit of this problem? $$\lim_{x\to 0}\left(|x|\cos^2\left(\frac1x\right)\right)$$

• $0\leq|x|\cos^2\left(\frac{1}{x}\right)\leq|x|$ – Guest Dec 10 '15 at 2:50

$$0 \le |x| \cos^2 \left( \frac{1}{x} \right) \le |x|$$