Expand the following periodic function into a Fourier series. 1 for -2T ≤ 0 for - M for 0 < ㅠ -2 T f(x) = π-x X-π for 7 1 XXXX <-T < 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Expand the following periodic function into a Fourier series.
for -2 < <-T
< 0
-2 A
f(x) =
1
0
for
T-X for
X-T for
k
<-T
0 <
ㅠ
XX
<T
< 2π
2 T
Make a graph to show the behavior of the Fourier series expansion
for different numbers of coefficients (n=2, 5, 10, 15, 20, 40, 60, 80
and 100).
Transcribed Image Text:Expand the following periodic function into a Fourier series. for -2 < <-T < 0 -2 A f(x) = 1 0 for T-X for X-T for k <-T 0 < ㅠ XX <T < 2π 2 T Make a graph to show the behavior of the Fourier series expansion for different numbers of coefficients (n=2, 5, 10, 15, 20, 40, 60, 80 and 100).
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