GATE EC 2014 Set 3 — Question 55

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NAT+2 / -0MediumInverse Z-TransformDiscrete-Time SignalsSignals & SystemsRegion of Convergence

Signals & Systems → Discrete-Time Signals → Inverse Z-Transform

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The z-transform of the sequence x[n]x[n] is given by X(z)=1(12z1)2X(z) = \frac{1}{(1-2z^{-1})^2}, with the region of convergence z>2|z| > 2. Then, x[2]x[2] is ________.
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