Given f(x) = -x if -1...
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Given f(x) = -x if -1<x<l and f(x) = f(x+2). (a) Find the trigonometric Fourier series for f(x). Expand the series up to the fourth harmonic. (b) Let x = 1/2 and deduce a series for 1/4. Present your final answer using the Sigma notation. Given f(x) = -x if -1<x<l and f(x) = f(x+2). (a) Find the trigonometric Fourier series for f(x). Expand the series up to the fourth harmonic. (b) Let x = 1/2 and deduce a series for 1/4. Present your final answer using the Sigma notation.
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