3. Show that the Fourier series of the function g(x) = |x| on the interval [-7,7] is 4 5 - 1 cos(2n – 1)x g(x) = %3| 2 (2n – 1)2 n=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Show that the Fourier series of the function g(x) = |x||
on the interval [-7,7] is
4
g(r) =5 -
1
cos(2n – 1)x
%3D
2
(2n – 1)2
-
n=1
Transcribed Image Text:3. Show that the Fourier series of the function g(x) = |x|| on the interval [-7,7] is 4 g(r) =5 - 1 cos(2n – 1)x %3D 2 (2n – 1)2 - n=1
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