Question

For the function F (s) = (s+5)/s(s^2+2s+5), after splitting this function into the partial fractions, 1/s co-efficient is?

(a) 1

(b) 2

(c) 3

(d) 4

This question was addressed to me by my college director while I was bunking the class.

I would like to ask this question from Inverse Transforms in portion Intoduction to the Laplace Transform of Network Theory

Answer 1

Right answer is (a) 1

To explain: To obtain the constant A, multiply the given equation with (s) and putting s = 0. A= sF(s)|s=0 = (s+5)/((s^2+2s+5))=1.