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If n tends to infinity, is the accumulator function a stable one?

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

(a) The function is marginally stable

(b) The function is stable

(c) The function is unstable

(d) None of the mentioned

I had been asked this question in my homework.

Question is from Discrete Time Signals topic in division Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (c) The function is unstable

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

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