Question: 4. A LTI system accepts the input x[n] = 2u[n] and produces the output y[n] = c8[n] +(-1)^u[n] where c 0 is a real constant.

4. A LTI system accepts the input x[n] = 2"u[n] and

4. A LTI system accepts the input x[n] = 2"u[n] and produces the output y[n] = c8[n] +(-1)^u[n] where c 0 is a real constant. (i) Determine the system function H(z) and its region of convergence, expressing your answer in terms of c. (ii) If the input x1 [n] = (-4)", ne z results in zero output at all times, determine the value of c. Also, determine the output y2[n] produced by the input x2 [n] = 3, E (It is not necessary to invert z-transforms in this problem)

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