Question

Singular Points of Complex Functions

Answer 1

Really struggling with this and would appreciate a few pointers:

\[f(z)=\dfrac{cos^2(z)sin(\dfrac{1}{z})}{(z-\dfrac{\pi}{2})^2(z^2-iz+2)}\]

Answer 2

1 point would be when z= pi/2

Answer 3

and z= i and 2i

Answer 4

Thanks for your reply. Does the numerator not give any?