Problem 1 (5 points): x n and y n are the input and output sequences of a discrete-time system, respectively, where n is the sampling index. If −2 ≤ x n ≤ +3 for any n, find the upper and lower limits of y n for any n (−[infinity] to +[infinity]) for the following two systems. (i) y n = nx n (ii) y n = 5x n − 2x n − 1 + 3x[n − 2]