Show that the limit $\lim_{z \to i}{\frac{1-|z|}{i-z}}$ does not exist. Show that the limit $\lim_{z \to i}{\frac{1-|z|}{i-z}}$ does not exist.
I tried by putting $z =ix $, where $x \to 1$ and got that the limit is $\frac{1}{i}$, but can't think of another example. 

Hint:
$$\lim_{z \to i}{\frac{1-|z|}{i-z}}= \lim_{s \to 0}{\frac{|s+i|-1}{s}}.$$
Choose $s$ real number then the limit will be 0.
