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Question

Mathematics Question on Integration

If Φ(z)=c0+c1z1\Phi(z)=c_0+c_1z^{-1}, then z=11+Φ(z)zdz\oint_{|z|=1}\frac{1+\Phi(z)}{z}dz is

A

2πc1

B

2π(1+c0)

C

2πic1

D

2πi(1+c0)

Answer

2πi(1+c0)

Explanation

Solution

The correct answer is(B): 2πi(1+c0)