4. Show that the Fourier series for the periodic function of period 2 defined by -{₁ f(0) = is given by: 0, when - <0 <0 0<0 < f(0) = = sine, when 2/1 I cos 20 (3) cos 40 (3)(5) cos 60 (5)(7) --)
4. Show that the Fourier series for the periodic function of period 2 defined by -{₁ f(0) = is given by: 0, when - <0 <0 0<0 < f(0) = = sine, when 2/1 I cos 20 (3) cos 40 (3)(5) cos 60 (5)(7) --)
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:4. Show that the Fourier series for the periodic function of period 2π defined by
{
f(0) =
is given by:
0, when - <0 <0
0<0<л
f(0) =
sine, when
2
-²/² (²/²²
ग
1 cos 20
(3)
-
cos 40
(3)(5)
cos 60
(5)(7)
·)
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