1.

Consider the sequence \(\rm x[n] = a^nu[n] +b^nu [n]\), where \(\rm u[n]\) denotes the unit-step sequence and \(\rm 0 < |a| < |b| < 1\). The region of convergence (ROC) of the z-transform of \(\rm u[n]\) is

A. \(\rm |z| > |a|\)
B. \(\rm |z| > |b|\)
C. \(\rm |z| < |a|\)
D. \(\rm |a| < |z| < |b|\)
Answer» C. \(\rm |z| < |a|\)


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