Consider $\oint_C\frac{1+e^z}{z}dz$ with |z|=1.
evaluate the given integral along the indicated closed contour.
I think this can be solve by using Cauchy's formula. But i'm not sure.
If I take$ f(z)=1+e^z$, i found the answer ==> $2πi*f(0+0i)$=$\oint_C\frac{1+e^z}{z}dz$
Is my answer and solution way correct or not?