Find the following limit if they exist, otherwise explain why they do not exist:

$\displaystyle \lim \frac{Re(z)}{z}$

with $\displaystyle z\rightarrow 0 $

Since $\displaystyle Re(z) = x $

So $\displaystyle \lim \frac {x}{x+iy} $ ??

with $\displaystyle z\rightarrow 0 $

How do i continue from here?