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If the region of convergence of $x_1[n]+x_2[n]$ is $\frac{1}{3}<|z|<\frac{2}{3}$, then the region of convergence of $x_1[n]-x_2[n]$ includes 

  1. $\frac{1}{3}<|z|<3$
  2. $\frac{2}{3}<|z|<3$
  3. $\frac{2}{3}<|z|<3$
  4. $\frac{1}{3}<|z|<\frac{2}{3}$
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