Question

Evaluate ∮c e^z/(z+2) (z+3) dz where C is |z|=1?

A)-2

B)-4

C) 1

D) 0

Answer 1

Singular points of a function:

${z_1} = - 3,\,\,{z_2} = - 2$

Since none of the singular points is inside the circle $|z|=1$ then value of integral is 0.

Answer: D) 0