1. Determine the Laurent series for, 1. f(z) = tan z ;z = 2 1 2. f(z) =: 1 < |z – 2| < 3 %3D z2-1 z+1 3. f(z) = |z + 2| < 3 z-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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d. Determine the Laurent series for,
;z =
π
1. f(z) = tan z
2
1
2. S(2) =:
1 < |z – 2| < 3
%3D
z2-1
z+1
3. f(z) = ;
|z + 2| < 3
z-1
Transcribed Image Text:d. Determine the Laurent series for, ;z = π 1. f(z) = tan z 2 1 2. S(2) =: 1 < |z – 2| < 3 %3D z2-1 z+1 3. f(z) = ; |z + 2| < 3 z-1
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