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The region of convergence of a causal finite duration discrete-time signal is

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The region of convergence of a causal finite duration discrete-time signal is

(a) The entire z-plane except z = 0

(b) The entire z-plane except z = ∞

(c) The entire z-plane

(d) A strip in z-plane enclosing jω–axis

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My question is based upon The Z-transform Analysis of Sampled-Data Control Systems topic in division Digital Control Systems of Control Systems

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Correct option is (a) The entire z-plane except z = 0

Best explanation: For discrete time signal for any causal system the region of convergence is always entire z-plane but except z =0.

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