$$ \lim\_{x\to -\infty} x \sin \left(\frac{1}{x}\right)$$

How is the answer 1???

**My attempt**

As x goes to $-\infty$.

-$1/\infty$ is 0, so 

$\sin (0)=0$

$-\infty \sin (0)= \infty (0)$

Well I don't know how to evaluate infinity multiplied by zero?