A linear time-invariant system has impulse response h[n] = n u[n]. (a) Determine y 1 [n],

A linear time-invariant system has impulse response h[n] = αⁿu[n].

(a) Determine y₁[n], the response of the system to the input x₁[n] = e^j(π/2)n.

(b) Use the result of Part(a) to help to determine y₂[n], the response of the system to the input x₂[n] = cos(π n /2).

(c) Determine y₃[n], the response of the system to the input x₃[n] = e^j(π/2)nu[n].

(d) Compare y₃[n] with y₁[n] for large n.