White, random noise is filtered by an ideal continuous-timelowpass filter (a brick-wall filter which cuts off at 5 kHz, then sampled fs = 10KHz at resulting in a sequence x[n] whose ztransform X(z) is given below. x[n] is the input sequenceapplied to a digital filter whose impulse response h[n] is alsogiven below. Find the resulting output sequence,y[n]. Hint: There's a VERY easy way to solve thisproblem, and a way which is not so easy. If it seems hard,you're not doing it the easy way.
X(z) = 1
h[n] = 0.9 n u[n]