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Extrema

The region of...

Question

$The region of convergence of a signal x[n] whose z-transform is represented as x(z),where x (n) = {\begin{matrix} 1; & - 1 \leq n \leq 5 0; & otherwise \end{matrix}$

| z | > 5

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entire z-plane except z = 0, and z = \infty

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0.2 < | z | < 5

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| z | > 0.2

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Solution

The correct option is B $entire z-plane except z = 0, and z = \infty$
$The given sequence of x[n] is finite duration. Hence, the region of convergence is 0 < | z | < \infty$

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