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

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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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.