Suppose that the signals x1[n], x2[n], and x3[n] are given by
x1[n] = cos(0.2πn), x2[n] = cos(0.125πn), and x3[n] = cos(.4πn).
(a) Determine whether x1[n] is periodic. If so, determine the number of samples per fundamental period.
(b) Determine whether x2[n] is periodic. If so, determine the number of samples per fundamental period.
(c) Determine whether x3[n] is periodic. If so, determine the number of samples per fundamental period.
(d) Determine whether the sum of x1[n], x2[n], and x3[n] is periodic. If so, determine the number of samples per fundamental period.
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