12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-π (2m + 1)2 By integrating this equation term by term from 0 to x, find the function g(x) whose Fourier series is 4 sin(2m+ 1)x 2m + 1) -0 (In Using these results, determine, as far as possible by inspection, the form of the functions of which the following are the Fourier series: cos θ + 0 cos 3 θ + cos 504 . . . ; 25 27 125 し、9 I You may find it helpful to first set x-0 in the quoted result and so obtain values for S.-Σ(2m + 1)-2 and other sums derivable from it.]
12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-π (2m + 1)2 By integrating this equation term by term from 0 to x, find the function g(x) whose Fourier series is 4 sin(2m+ 1)x 2m + 1) -0 (In Using these results, determine, as far as possible by inspection, the form of the functions of which the following are the Fourier series: cos θ + 0 cos 3 θ + cos 504 . . . ; 25 27 125 し、9 I You may find it helpful to first set x-0 in the quoted result and so obtain values for S.-Σ(2m + 1)-2 and other sums derivable from it.]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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