Question

The Laplace transform of a signal is given as Y(s) = \(\frac{1}{s(s-1)}\), then the final value is ___________

(a) -1

(b) 0

(c) 1

(d) Unbounded

I had been asked this question in unit test.

Question is from Power and Energy Signals topic in section Fourier Series of Signals and Systems

Answer 1

Correct choice is (d) Unbounded

Easiest explanation: Final value theorem is applicable only when all the poles of the system lie in the left half of the s-plane.

Here, s=1 lies on the right s-plane pole.

Hence the final value is unbounded.