Question

Suppose ( g(z)=∑k=0[infinity] 2kzk/k!k! ). Evaluate the line integral ( ∫C g(z)/z4 ), where ( C ) the unit circle ( |z|=1 ) traversed once counter clockwise. Hint: Take another look at pr.

a) ( 2π i )
b) ( π i/2 )
c) ( π i )
d) ( -π i/2 )