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Question Number 124009 by joki last updated on 30/Nov/20

Answered by mindispower last updated on 30/Nov/20

$$f\left(z\right)=\frac{z^4}{e^z-1},isholomorphicwithenopolsin\mathrm{\Gamma }$$$$e^z-1=0\Rightarrow z=2ik\pi ,k\in \mathbb{Z}$$$$\Rightarrow {\int }_{\mathrm{\Gamma }}f\left(z\right)dz=0$$

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