22 2. Find the Laurent series expansion of the following. (a) 2³e for |2|>0 (b) iz for || >2 2+iz (c) (2+2) (2+3) for 2<||<3 (z+2)(z+3) (Hint: Use partial fractions and create geometric series with | | < 1 and | 33 | < 1.) and 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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22
2. Find the Laurent series expansion of the following.
(a) 2³e for |2|>0
(b) iz for || >2
2+iz
(c) (2+2) (2+3) for 2<||<3
(z+2)(z+3)
(Hint: Use partial fractions and create geometric series with
| | < 1 and | 33 | < 1.)
and so that it converges for
Transcribed Image Text:22 2. Find the Laurent series expansion of the following. (a) 2³e for |2|>0 (b) iz for || >2 2+iz (c) (2+2) (2+3) for 2<||<3 (z+2)(z+3) (Hint: Use partial fractions and create geometric series with | | < 1 and | 33 | < 1.) and so that it converges for
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