5. Suppose f(z) is analytic inside and on CR(0) for some R>0. For |z| < R, show thatf(S)21 SCA (0) (5-3)C2πίdc ={if x = 0,f'(0),f(z)-f(0)if ≈ 0.

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Answered: 5. Suppose f(z) is analytic inside and…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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5. Suppose f(z) is analytic inside and on CR(0) for some R>0. For |z| < R, show that f(S) 21 SCA (0) (5-3)C 2πί dc = { if x = 0, f'(0), f(z)-f(0) if ≈ 0.