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Explanation We know that, for a given signal x(n) the ztransform is defined as Substitute the values of n from 2 to 3 and the corresponding signal values in the above formula We get, X(z) = 2z 2 4z 5 7z1 z3X = (n * c) / (d * t) 1 x = 1 (n * c) / (d * t) x = 1 (d * t) / (n * c) x = (n * c) / (d * t) 1Fundamental Theorem of Calculus Solve x ^(n1) dx = x ^n / n x ^n / n = x ^(n1) dx = x ^(n1) 1/n x ^n = x ^(n1) x ^n = n x ^(n1) QED

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