Suppose x₁[n] is an infinite-length, stable (i.e., absolutely summable) sequence with z-transform given by

x₁(z) = 1/ 1−1/3z⁻¹.

Suppose x₂[n] is a finite-length sequence of length N, and the N-point DFT of x₂[n] is 

X₂[k] = X₁(z) | _z=e^j2πk/N’             k = 0, 1…..N – 1,

Determine x₂[n].