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A function N (S) is said to have a pole (or zero) at infinity if the function N (1/S) has a pole (or zero) at S = ?(a) ∞(b) 2(c) 0(d) 1This question was addressed to me by my college director while I was bunking the class.The question is from Properties of Driving Point Functions in chapter S-Domain Analysis of Network Theory

Answer»

The correct option is (C) 0

To ELABORATE: A function N (S) is said to have a pole (or ZERO) at INFINITY, if the function N (1/S) has a pole (or zero) at S = infinity. A zero or pole is said to be of multiplicity ‘r’ if (S-Z)^r or (S-P)^r is a factor of P(s) or Q(s).



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