Which of the following statements is/are true regarding the function
\(f\left( z \right) = \begin{array}{*{20}{c}} {\frac{{{z^{ - 3}}}}{{{z^2}}}\;if\;z \ne 0}\\ {0\;if\;z = 0} \end{array}\)
1
f(z) is continuous everywhere
2
f(z) is discontinuous at z = 0
3
The complex derivative f’(0) exist.
4
The complex derivative f’(0) does not exist.