${\displaystyle \int \exp(z)/z\,dz}$ over the curve $|z|=1$
I made an attempt by expressing the exponential part is series form and then we have to integrate only $1/z$ over the curve and I got the answer $2 \pi i$. Can anyone share another answer or any shortcut method to solve?
2026-04-11 11:18:37.1775906317
Evaluation of complex integration from book Lars V.Ahlfors chapter 4 page 121
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