For the number sequence {e(k)}, Z E(z) = (z-1)² (a) Apply the final-value theorem to E(z). (b) Check your result in part (a) by finding the inverse z-transform of E(z). (c) Repeat parts (a) and (b) with E(z) = z/(z + 1)². (d) Repeat parts (a) and (b) with E(z) = z/(z + 0.9)². (e) Repeat parts (a) and (b) with E(z) =z/(z + 0.1)2.