1.

If \({\rm{x}}\left[ {\rm{n}} \right] = {\left( {\frac{1}{3}} \right)^{\left| {\rm{n}} \right|}}-{(\frac{1}{2})}^n \ u(n) \) then, the region of convergence of its z transform in the z-plane will be

A. \( \frac{1}{3}<\left| z \right| < 3\)
B. \( \frac{1}{2}<\left| z \right| < 3\)
C. \( \frac{1}{3}<\left| z \right| < \frac{1}{2}\)
D. \( \frac{1}{3}<\left| z \right| \)
Answer» C. \( \frac{1}{3}<\left| z \right| < \frac{1}{2}\)


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