What would be the limit of the given multi-variable functions?

$$1. \lim\_{(x,y) \to (0,0)} x \cdot sin \left(\frac{1}{y}\right)$$
$$2. \lim\_{(x,y) \to (0,1)} \frac{e^{x}-y}{xy}$$

I tried to solve with x=0 and y=0 but in this this method didn't work. Is there any other way??

Thanks for the help.