Question

If the z transform of x(n) is X(z) =z(8z-7)/4z^2-7z+3, then the final value theorem is :

(a) 1

(b) 2

(c) ∞

(d) 0

I got this question in an interview.

This question is from The inverse z-transform and Response of Linear Discrete Systrems topic in section Digital Control Systems of Control Systems

Answer 1

Correct answer is (a) 1

For explanation I would say: Final value theorem is calculated for the transfer function by equating the value of z as 1 and this can be calculated only for stable systems.