Find the n'th Fourier approximation for f(x) = x on the interval [-, π]. Assume that your approximation converges to f(x) = x when x E (-, π). Use this series to argue that: get /4 0.7853? 1 Σ(-1)* +1 2k-1 k=1 The convergence of this series is slow. How many terms are needed to π 4

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