Question:-
The residues of a complex function X(z) = (1-12z) / (z(z-1)(z-2)) at its poles are
Option (A)
1 / 2 , -(1/2) and 1
Option (B)
1 /2, -(1/2) and -1
Option(C)
1/2 , -1 and -(3/2)
Option(D)
1/2, -1 and 3/2
Correct Option:
(C)
Question Solution:
Z x (z) |z=0 = (1/2), (z-1) x (z)|z=1 = 1, (z-2) x (z)|z=2 = (-3/2)
question-answer-faq-2168