Question

Consider the function F (s)= 5/s(s^2+3s+2), the initial value of f(t) is:

(a) 5

(b) 5/2

(c) 5/3

(d) 0

This question was posed to me by my school principal while I was bunking the class.

This intriguing question originated from State Variables and Linear Discrete-Time Systems topic in division State Variable Analysis and Design of Control Systems

Answer 1

Correct choice is (d) 0

To explain: For initial value theorem in which time is at t =0 and for the frequency which is the inverse of time, the value of s is replaced with infinity and hence the value obtained is 0.