Question

If the number of zeros (n) are greater than the number of poles (m), then there will be _________ number of zeros at s = ∞.

(a) n

(b) m

(c) n-m

(d) n+m

I have been asked this question during an interview.

My doubt stems from Poles and Zeros of Network Functions in division S-Domain Analysis of Network Theory

Answer 1

Correct choice is (c) n-m

For explanation I would say: If the number of zeros (n) are greater than the number of poles (m), then there will be (n-m) number of zeros at s = ∞ and to obtain (n-m) zeros at s = ∞ the condition is n>m.