(a) A continuous-time signal x(t) = cosπt is sampled every T seconds, resulting in the discrete-time signal x[n] = x(nT). Determine whether the sampled signal is periodic for
(i) T = 1 s
(ii) T = 0.1 s
(iii) T = 0.125 s
(iv) T = 0.130 s
(v) T = 5 s
(vi) T =3 s
(b) For those sampled signals in Part (a) that are periodic, find the number of periods of x(t) in one period of x[n].
(c) For those sampled signals in Part (a) that are periodic, find the number of samples in one period of x[n].
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