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If n tends to infinity, is the accumulator function an unstable one?

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in Signals and Systems by (1.2m points)
If n tends to infinity, is the accumulator function an unstable one?

(a) The function is marginally stable

(b) The function is unstable

(c) The function is stable

(d) None of the mentioned

I have been asked this question in a national level competition.

My question comes from Discrete-Time Systems in the Time-Domain in section Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Right answer is (b) The function is unstable

The best explanation: The system would be unstable, as the output will grow out of bound at the maximally worst possible case.

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