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GATE ECE 2007 | Question-51

The $z$-transform $X[z]$ of a sequence $x[n]$ is given by $X[z]=\frac{0.5}{1-2 z^{-1}}$. It is given that the region of convergence of $X[z]$ includes the unit circle. The value of $x[0]$ is

  1. $-0.5$
  2. $0$
  3. $0.25$
  4. $0.5$
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