Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f(z) in the domain 0 < |z – 3i| < ∞. (+r aE 1 a) (z – 3i)² + (z – 3i) + En=0 n=0\(n+2)! | n!) (z-3i)" 1 1 b) 2(z – 3i) + E-0 1=0 n! (z-3i)" c) 9 + 9(z – 3i) + En=2 (n-2)! + (z – 31)" 1 а. O b. С.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 60RE
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Let f(z) = ((z – 3i)² + 9)ez-
The Laurent series representation of f (z) in the domain 0 < |z – 3i| < ∞.
a) (z – 3i)² + (z – 3i) + 2n=o ((n+2)!
1
9
1
|
(z-3i)n
1
1
b) 2(z – 3i) + E-c
n=D0
п! (z-3i)"
1
c) 9 + 9(z – 3i) + En=2
(z – 3i)"
(п-2)!
n!.
а.
b.
С.
Transcribed Image Text:Let f(z) = ((z – 3i)² + 9)ez- The Laurent series representation of f (z) in the domain 0 < |z – 3i| < ∞. a) (z – 3i)² + (z – 3i) + 2n=o ((n+2)! 1 9 1 | (z-3i)n 1 1 b) 2(z – 3i) + E-c n=D0 п! (z-3i)" 1 c) 9 + 9(z – 3i) + En=2 (z – 3i)" (п-2)! n!. а. b. С.
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