Question

If X^+(z) is the one sided z-transform of the signal x(n), then \(\lim_{n \rightarrow \infty} x(n)=\lim_{z\rightarrow 1}(z-1) X^+(z)\) is called Final value theorem.

(a) True

(b) False

I had been asked this question by my college professor while I was bunking the class.

My query is from One Sided Z Transform topic in portion Z Transform and its Application – Analysis of the LTI Systems of Digital Signal Processing

Answer 1

Right choice is (a) True

To elaborate: In the above theorem, we are calculating the value of x(n) at infinity, so it is called as final value theorem.