3. A periodic function, f(t) is defined by ƒ0={* 2-1, 0, f(1) = f(1+2n) (ii) 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3.
A periodic function, f(t) is defined by
(ii)
R-1,
4
f(1) =
f(1) = f(1+2n)
Sketch the graph of the periodic function over the interval [-27,27].
Show that the Fourier series of f(t) is
2cos(2n-1)
sinnt
(2n-1)²
n
+-
OSI<A
#≤1<2n
n-l
a-l
Transcribed Image Text:3. A periodic function, f(t) is defined by (ii) R-1, 4 f(1) = f(1) = f(1+2n) Sketch the graph of the periodic function over the interval [-27,27]. Show that the Fourier series of f(t) is 2cos(2n-1) sinnt (2n-1)² n +- OSI<A #≤1<2n n-l a-l
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