GATE 2024 Signal & System Foundation Quiz 31

A continuous time signal x(t) with period 4 has the exponential Fourier series coefficient

Signal x(t) is

Consider the following continuous time signal x(t)

If C_k is the complex Fourier series coefficient of signal x(t). Then the value of |C₂| will be

Unilateral z-transform of sequence x(n) = n² where, n = 0, 1, 2, 3 ……..

What will be the value of x(2), if X(z) is the z-transform of x[n] and ROC is |z| > 1/5.