Let C be a positively oriented unit circle. Compute the residue of the following: (a) f(z) = z(z²+4) (b) f(2) = - (c) f(z): 1 %3D 4 = CSC z

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 57E
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Let C be a positively oriented unit circle. Compute the residue of the following:
1
(a) f(z) =
z(z2+4)
(b) f(s) =D 글-
1
1
22
4
(c) f(2) = csc z
Transcribed Image Text:Let C be a positively oriented unit circle. Compute the residue of the following: 1 (a) f(z) = z(z2+4) (b) f(s) =D 글- 1 1 22 4 (c) f(2) = csc z
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