The z-transform of a signal is given by \(H\left( z \right) = \frac{1}{8}\frac{{{z^{ - 1}}\left( {1 + {z^{ - 5}}} \right)}}{{\left( {1 + {z^{ - 1}}} \right)\left( {1 - {z^{ - 1}}} \right)}}\). It final value is –

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