Question

Final value theorem states that _________

(a) x(0)=\(\lim_{x\rightarrow ∞} sX(s)\)

(b) x(∞)=\(\lim_{x\rightarrow ∞} sX(s)\)

(c) x(0)=\(\lim_{x\rightarrow 0} sX(s)\)

(d) x(∞)=\(\lim_{x\rightarrow 0} ⁡sX(s)\)

This question was addressed to me in examination.

My question is based upon Laplace Transform by Properties in portion Laplace Transform of Engineering Mathematics

Answer 1

Correct choice is (d) x(∞)=\(\lim_{x\rightarrow 0} ⁡sX(s)\)

The explanation: Final value theorem states that

x(∞)=\(\lim_{x\rightarrow 0} ⁡sX(s)\)