Networks Analysis and Synthesis - Engineering

Q1:

The function Z(s) has a pole at infinity if

A the degree of numerator and denominator of Z(s) are equal

B the numerator of Z(s) is one degree higher than denominator

C the denominator of Z(s) is one degree higher than numerator

D the degree of numerator and denominator are either equal or differ by one

ANS:B - the numerator of Z(s) is one degree higher than denominator

If numerator is one degree higher than denominator z(s) tends to infinity as s tends to infinity.