Sympy-exact closed form for the Z-transform of the unit step. The unit step u[n] = 1 (n ≥ 0) has Z-transform X(z) = Σ_{n≥0} 1 · z^{-n} = Σ_{n≥0} (1/z)^n = 1/(1 − 1/z) = z/(z − 1) on the ROC |z| > 1. Evaluation pins: at z = 2, z/(z − 1) =…
Sympy-exact closed form for the Z-transform of the unit step. The unit step u[n] = 1 (n ≥ 0) has Z-transform X(z) = Σ_{n≥0} 1 · z^{-n} = Σ_{n≥0} (1/z)^n = 1/(1 − 1/z) = z/(z − 1) on the ROC |z| > 1. Evaluation pins: at z = 2, z/(z − 1) =…