Prove that the residue of the following functions at infinity are -1 and 1 respectively. 2 z³ -z² +1 Z तथा (and) (z-a)(z-b) z³ 3

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers
Problem 20E
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Prove that the residue of the following functions at infinity are -1
and 1 respectively.
z³ - z² +1
Z
तथा (and)
(z-a)(z-b)
3
Z
Transcribed Image Text:Prove that the residue of the following functions at infinity are -1 and 1 respectively. z³ - z² +1 Z तथा (and) (z-a)(z-b) 3 Z
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