6. Let be the function defined on [-x,"] by f(0) = |0|. Ibookroot October 20, 2007 60 Chapter 2. BASIC PROPERTIES OF FOURIER SERIES (a) Draw the graph of f. (b) Calculate the Fourier coefficients of f, and show that if n-0, j(n) = -1+(-1)" if n 40. (c) What is the Fourier series of f in terms of sines and cosines? (d) Taking 0= 0, prove that Σ %3D and n odd 21

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