5.b The appropriate Fourier series for f(x) = |x|, -π

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Fourier Series

5.b The appropriate Fourier series for
f(x) = |x|, -π<x< π
1-(-1)"
a. f(x) = 2 Σn=1
n
b. f(x) = 1 +
·Σn=1
2
T
100
c. f(x) = 1 + ² =1
ΞΣ
2
TT
d. f(x) = 2 Σn=
sin nx
(-1)"+1
n²
(-1)"-1
n²
1+(-1)"
n
Cos nx
cos nx
sin nx
Transcribed Image Text:5.b The appropriate Fourier series for f(x) = |x|, -π<x< π 1-(-1)" a. f(x) = 2 Σn=1 n b. f(x) = 1 + ·Σn=1 2 T 100 c. f(x) = 1 + ² =1 ΞΣ 2 TT d. f(x) = 2 Σn= sin nx (-1)"+1 n² (-1)"-1 n² 1+(-1)" n Cos nx cos nx sin nx
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