=+14. For a complex number c with |c| > 1, show that the periodic function f(x)=(c − e2πix)−1 has the simple Fourier series coefficients ck = c−k−11{k≥0}. Argue from equation (13.5) that the finite Fourier transform approximation ˆbk to ck is

ˆbk =

* c−k−1 1 1−c−n 0 ≤ k ≤ n 2 − 1 c−n−k−1 1 1−c−n −n 2 ≤ k ≤ 0.