(a) Find the coefficients an and bn of the Laurent series Σan (z-zo)"+ n=0 n=1 bn (z-zo)- of the function f(z) = z¹5 sin () valid on the set {z € C: 0 < |z| < 10), where zo = 0. Justify all of your steps. Determine the residue of the function f(z) from part (a) at the point z = 0. Justify all o your steps.
(a) Find the coefficients an and bn of the Laurent series Σan (z-zo)"+ n=0 n=1 bn (z-zo)- of the function f(z) = z¹5 sin () valid on the set {z € C: 0 < |z| < 10), where zo = 0. Justify all of your steps. Determine the residue of the function f(z) from part (a) at the point z = 0. Justify all o your steps.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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