Question: It is not normal calculation, this is about COMPLEX VARIABLE, if you write in a notebook it is fine, only that it must be clear

It is not normal calculation, this is about COMPLEX VARIABLE, if you write in a notebook it is fine, only that it must be clear to read; mention the theorems you use

Find the value of the integral el / z dz C a) Giving a homotopic curve to C when this is |z|=1 b) Applying the Cauchy-Goursat theorem for the case in which C is about | z-21|=1 c) Finally, rewrite el/z as Laurent series for complex z such that | z|

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