Expand f(2)=z(z - 4) 1 < |z-51 < 5 in a Laurent series valid for the indicated annular domain. (Give all terms ak(zzo)k for -2 ≤ k ≤ 2.)

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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in a Laurent series valid for the indicated annular domain. (Give all terms ak(z - Zo)k for -2 ≤ k ≤ 2.)
Z(z - 4)
1 < |z-51 < 5
Expand f(z) =
f(z) = ...
eBook
1
(2-5)2
6
(z-5)³
+
31
(2-5)*
X
Transcribed Image Text:in a Laurent series valid for the indicated annular domain. (Give all terms ak(z - Zo)k for -2 ≤ k ≤ 2.) Z(z - 4) 1 < |z-51 < 5 Expand f(z) = f(z) = ... eBook 1 (2-5)2 6 (z-5)³ + 31 (2-5)* X
A
Step2
b)
7:58 pm
+ [ * - £ ² + 3 =- = ₁² +
⇒ f (z) =
=> ƒ (²) = /[ # - 24 + 124
;. f(²)= = =+
34
- + 2 - 2535 + 125]
+
t
31
(2-5)+
63%
is the required
Laurent series expansion.
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Transcribed Image Text:A Step2 b) 7:58 pm + [ * - £ ² + 3 =- = ₁² + ⇒ f (z) = => ƒ (²) = /[ # - 24 + 124 ;. f(²)= = =+ 34 - + 2 - 2535 + 125] + t 31 (2-5)+ 63% is the required Laurent series expansion. Was this solution helpful? √x 8
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