Question: I need helps 1. Let f(z) be an analytic function on and inside a given circle C. If f has a simple zero only at

I need helps

1. Let f(z) be an analytic function on and inside a given circle C. If f has a simple zero only at Zo inside the circle C the prove that 1 zfi (z) Zo = dz where the circle contour C is traversed once 2ni Jc f(z) in the positive direction. 2. Find the Laurent series expansion for 2 2+1 23-322+2z valid for : (a) 0/

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