Find each of the following limits:

(1) $\lim_{z \to 2}{\frac{z^2\ +\ 5}{iz}}\ =\ $

(2) $\lim_{z \to i}{\frac{z^2\ +\ 1}{z^4\ -\ 1}}\ =\ $

(3) $\lim_{z \to 1+2i}{|z^2\ -\ 1|}\ =\ $