If Z{x(n)}=X(z) and the poles of X(z) are all inside the unit circle, then the final value of x(n) as $n\rightarrow\infty$ is given by i.e., $\lim_{n\rightarrow\infty}$x(n)=?

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$\lim_{z \rightarrow 0} [(z-1) ⁡ X(z)] $

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$\lim_{z \rightarrow 1} [(z-1) ⁡ X(z)] $

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$\lim_{z \rightarrow 0} [(z-1) ⁡ X(z)] $

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$\lim_{z \rightarrow -1} [(z-1) X(z)] $

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$\lim_{z \rightarrow 1} [(z+1) ⁡ X(z)] $

1.	If Z{x(n)}=X(z) and the poles of X(z) are all inside the unit circle, then the final value of x(n) as \(n\rightarrow\infty\) is given by i.e., \(\lim_{n\rightarrow\infty}\)x(n)=?
A.	\(\lim_{z \rightarrow 1} [(z-1) ⁡ X(z)] \)
B.	\(\lim_{z \rightarrow 0} [(z-1) ⁡ X(z)] \)
C.	\(\lim_{z \rightarrow -1} [(z-1) X(z)] \)
D.	\(\lim_{z \rightarrow 1} [(z+1) ⁡ X(z)] \)
Answer» B. \(\lim_{z \rightarrow 0} [(z-1) ⁡ X(z)] \)

If Z{x(n)}=X(z) and the poles of X(z) are all inside the unit circle, then the final value of x(n) as \(n\rightarrow\infty\) is given by i.e., \(\lim_{n\rightarrow\infty}\)x(n)=?

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