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GATE (EC) 2009 old question

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The ROC of Z-transform of the discrete time sequence x(n)=(13)nu(n)?(12)nu(?n?1) $x (n) = {(\frac{1}{3})}^{n} u (n) - {(\frac{1}{2})}^{n} u (- n - 1)$ is

(A) 13<|z|<12 $\frac{1}{3} < |z| < \frac{1}{2}$ (B) |z|>12 $|z| > \frac{1}{2}$ (C) |z|<13 $|z| < \frac{1}{3}$ (D) 2<|z|<3 $2 < |z| < 3$

Show Hide Correct Ans :: (A) 13<|z|<12 $\frac{1}{3} < |z| < \frac{1}{2}$

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