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If $x[n]=(1/3)^{\mid n \mid} – (1/2)^n \: u[n]$, then the region of convergence (ROC) of its $Z$-transform in the $Z$-plane will be

  1. $\dfrac{1}{3} < \mid z \mid < 3 \\$
  2. $\dfrac{1}{3} < \mid z \mid < \dfrac{1}{2} \\$
  3. $\dfrac{1}{2} < \mid z \mid < 3 \\$
  4. $\dfrac{1}{3} < \mid z \mid $
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