Question: 3. a) A function f is analytic on the punctured disc D = {z :0 0 and all a E R there exists a z

3. a) A function f is analytic on the punctured disc D = {z :0 0 and all a E R there exists a z E D for which (z - a) 0 and such that f(z) > M whenever (z-a| 0. Prove that If() (a)| s n! M rn . Justify each step in your argument. ( This result is known as Cauchy's Estimate. You may not assume Cauchy's Estimate in your answer.)

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