The appropriate Fourier series for f(x) = {1: { 1, -π< x < 0 0≤x≤ T

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

f(x)
= {
-f:
The appropriate Fourier series for
2
a. f(x) = Σ=11-(-1)" sin nx
T
n
2
1-1"
⇒.f(x): = 14,00
- Σn=1
- sin nx
πT
n
=. f(x) = 2
1
d. f(x) = 2 + Σn=1 = cos nx
-π<x<0
1, 0≤x<T
Transcribed Image Text:f(x) = { -f: The appropriate Fourier series for 2 a. f(x) = Σ=11-(-1)" sin nx T n 2 1-1" ⇒.f(x): = 14,00 - Σn=1 - sin nx πT n =. f(x) = 2 1 d. f(x) = 2 + Σn=1 = cos nx -π<x<0 1, 0≤x<T
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