Using partial fractions and geometric series formula, find the Laurent expansion of the following functions in the indicated annulus: 2z – 2 - a) (z + 1)(z – 3)' 1 < |z| < 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Using partial fractions and geometric series
formula, find the Laurent expansion of the
following functions in the indicated annulus:
2z – 2
a)
(z + 1)(z – 3)'
1< [z| < 3.
1
b)
(z – 1)(z – 2)'
|지 > 2.
-
1
, 1< ]z - i| < 00.
()
Transcribed Image Text:Using partial fractions and geometric series formula, find the Laurent expansion of the following functions in the indicated annulus: 2z – 2 a) (z + 1)(z – 3)' 1< [z| < 3. 1 b) (z – 1)(z – 2)' |지 > 2. - 1 , 1< ]z - i| < 00. ()
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