2. Find the Laurent series expansion of the following. (a) 23e for |2|>0 (b) + for || >2 (c) (+2) (+3) for 2<|2|<3 (Hint: Use partial fractions and create geometric series with and | |< 1 and < 1.) so that it converges for

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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2. Find the Laurent series expansion of the following.
(a) 23e for |2|>0
(b) + for || >2
(c) (+2) (+3) for 2<|2|<3
(Hint: Use partial fractions and create geometric series with and
| |< 1 and
< 1.)
so that it converges for
Transcribed Image Text:2. Find the Laurent series expansion of the following. (a) 23e for |2|>0 (b) + for || >2 (c) (+2) (+3) for 2<|2|<3 (Hint: Use partial fractions and create geometric series with and | |< 1 and < 1.) so that it converges for
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