Find the residue of the following functions: z3 i. f(z) : at z = 1,2,3. (z-1)(z-2)(z-3) 1 2 ii. f(z) : 1 at z = o. - (z-1) 3(z-2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 43E
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Find the residue of the following functions:
z3
i. f(z) =
at z = 1,2,3.
(z-1)(z-2)(z-3)
1
2
ii. f(z) =
1
at z = ∞.
-
(z-1)
3(z-2)
Transcribed Image Text:Find the residue of the following functions: z3 i. f(z) = at z = 1,2,3. (z-1)(z-2)(z-3) 1 2 ii. f(z) = 1 at z = ∞. - (z-1) 3(z-2)
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