1. Consider the continuous time signal x(t) = e 21-1.51)u(t-37). This signal is sampled every T seconds to produce the sampled-signal x(kT). (4 + 2 + 4 = 10 pts) 1) Find the Z-transform X(2)=Z[x(kr)]. ii) Use X (2) along with the initial value theorem to find x(O), i.e., x(kT), k = 0. iii) Use X(z) along with the final value theorem to find x(), i.e., lim ---*k ). You must state/verify the conditions for the applicability of the final value theorem