(1) Obtain the complex Fourier series coefficients for f(x)=x for-n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(1) Obtain the complex Fourier series coefficients for f(x)=x for-n<x<T.
HINT:
1
1
-inx
i
inx
Cn =
Ĵxe dx cos(n.π) = !
-= = = 1/(x) = ™ dx = = = I xe =^= ds = = cos(17), f(-1)"
2π
2π
n
n
71=00
f(x) = Σ cein
11=-00
=
X=100
i(-1)"in
Σ
n
n=-00
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