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Problem 5. Consider a DT LTI system with the property that if the input x[n] = 0 for all n ≤ −12, then the output y[n] = 0 for all n ≤ 4. • What condition must the impulse response of the system, h[n], satisfy for this to be true? • Is this system causal? Show your work and justify your answers.

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