Let f(z) = \(\frac{1}{z}\); z ≠ 0, then
1
f does not satisfy Cauchy - Riemann equation for all z ≠ 0
2
f is analytic for all z ≠ 0
3
f satisfies Cauchy – Riemann equation, but not analytic for all z ≠ 0
4
f is continuous only but nowhere differentiable