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
Section: Chapter Questions
Problem 1RQ
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FOR REVIEW PURPOSES.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38c2618e-4acf-41c7-a022-94a725b363f8%2F5dd2ed2a-6bbf-4878-b1d0-c49bd627ef8e%2Fodtgip_processed.png&w=3840&q=75)
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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