Question: Please explain how to do this question, especially b) to d). Thank you 3. (20 pts) By completing this problem, you will have a better

Please explain how to do this question, especially b) to d). Thank you

Please explain how to do this question, especially b) to d). Thank

3. (20 pts) By completing this problem, you will have a better understanding why complex analysis is a suitable environment for studying series. (a) Consider the function f(z) = , defined in R. Find its Taylor series in real- sense, i.c., as you learned in Calculus. (b) Notice that f(z) delined above is differentiable everywhere in R, but does its Taylor series converge pointwise everywhere in R? (c) What is the Taylor series expansion for f(z) = 3 in D = {2 C: || 1}? () [no points] Can you explain what happens in (b)

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