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Q:

Is y[n] = n*sin(n*pi/4)u[-n] a stable system?

A) Yes B) No
C) Marginally stable D) None of the mentioned
 
Answer & Explanation Answer: B) No

Explanation: The ‘n’ term in the y[n] will dominate as it reaches to negative infinity, and hence could reach infinite values. Eventhough + infinity would not be a problem, still the resultant system would be unstable.

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