Suppose we have a periodic function f with period 1 definedby f(x) = x for 0 x < 1. Find

Chapter 10, Problem 15

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Suppose we have a periodic function f with period 1 definedby f(x) = x for 0 x < 1. Find the fourth-degreeFourier polynomial for f and graph it on the interval0 x < 1. [Hint: Remember that since the period is not2, you will have to start by doing a substitution. Noticethat the terms in the sum are not sin(nx) and cos(nx),but instead turn out to be sin(2nx) and cos(2nx).]

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