3. (Laurent series expansions) Find the Laurent series expansions of the following functions in the regions indicated: z+1 (a) in 0 < 스프 ^ 8 (b) in 0 < |z – 4| < 4 z(z – 4)3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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3. (Laurent series expansions)
Find the Laurent series expansions of the following functions in the regions indicated:
z +1
(a) in 0 < 스프 ^ 8
(b)
in 0 < |z – 4| < 4
z(z – 4)3
Transcribed Image Text:3. (Laurent series expansions) Find the Laurent series expansions of the following functions in the regions indicated: z +1 (a) in 0 < 스프 ^ 8 (b) in 0 < |z – 4| < 4 z(z – 4)3
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