Find the n'th Fourier approximation for f(x) = x on the interval [-, ]. Assume that...

 

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Find the n'th Fourier approximation for f(x) = x on the interval [-, ]. Assume that your approximation converges to f(x) = when x = (-, ). Use this series to argue that: (-1)* +1 k=1 7 1 2k1 4 Unmarked Bonus for the Curious: The convergence of this series is slow. How many terms are needed to get /4 0.7853? Find the n'th Fourier approximation for f(x) = x on the interval [-, ]. Assume that your approximation converges to f(x) = when x = (-, ). Use this series to argue that: (-1)* +1 k=1 7 1 2k1 4 Unmarked Bonus for the Curious: The convergence of this series is slow. How many terms are needed to get /4 0.7853?