(a) How should f, originally defined on [0, L], be

Chapter 10, Problem 40

(choose chapter or problem)

(a) How should f, originally defined on [0, L], be extended so as to obtain a Fourierseries involving only the functions cos(x/2L), cos(3x/2L), cos(5x/2L), ...? Refer to 38 and 39.(b) If f(x) = x for 0 x L, sketch the function to which the Fourier series convergesfor 4L x 4L.

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