(a) Suppose that f is a function of period 2with f .t / D
Chapter , Problem 15(choose chapter or problem)
(a) Suppose that f is a function of period 2with f .t / D t2 for 0 < t < 2. Show that f .t / D 42 3 C 4 X1 nD1 cos nt n2 4X1 nD1 sin nt n and sketch the graph of f , indicating the value at each discontinuity. (b) Deduce the series summations in Eqs. (16) and (17) from the Fourier series in part (a). 16.
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