. Let f(x) = x for 0 < x < 1, and let m(x) = 2 sin mx.(a)

Chapter 11, Problem 2

(choose chapter or problem)

. Let f(x) = x for 0 < x < 1, and let m(x) = 2 sin mx.(a) Find the coefficients bm in the expansion of f(x) in terms of 1(x), 2(x), ....(b) Calculate the mean square error Rn for several values of n and plot the results.(c) Find the smallest value of n for which Rn < 0.01.

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