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The input to an LTI system is x[n]=u[n] and the corresponding output is y[n]=(21)n1u[n+1]. Which of the following statement(s) are correct? The system is stable

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The input to an LTI system is x[n]=u[n] and the corresponding output is y[n]=(21)n1u[n+1]. Which of the following statement(s) are correct? The system is stable since the ROC of H(z) includes the unit circle. The impulse response of the system is h[n]=4[n+1]2(21)nu[n] The z-transform of y[n] is Y(z)=121z14zROC21

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