Consider the punctured plane := {weC: w0}, and let f: C w → eu 1. Give an expression for the Wirtinger derivative ә du f(w). 2. Use the result of a previous assignment problem to compute the Laurent expansion of f near the origin and determine its annulus of convergence. 3. What type of singularity does f have at the origin? 4. What is the residue of f at the origin?

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A: Please refer the attached image for complete solution. THANK YOU.

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A: Explanation of the answer is as follows

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