In each of 7 through 12, assume that the given function is
Chapter 10, Problem 7(choose chapter or problem)
In each of 7 through 12, assume that the given function is periodically extendedoutside the original interval.(a) Find the Fourier series for the given function.(b) Let en(x) = f(x) sn(x). Find the least upper bound or the maximum value (if it exists)of |en(x)| for n = 10, 20, and 40.(c) If possible, find the smallest n for which |en(x)| 0.01 for all xf(x) =x, x < 0,0, 0 x < ;f(x + 2) = f(x) (see Section 10.2, 15)
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