1. Let f(x) be a function of period 2n such that 1, -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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Question
FOURIER SERIES

Transcribed Image Text:1.
Let f(x) be a function of period 27 such that
f(2) = { 0
1, -T <x < 0
0, 0<x< .
a) Sketch a graph of f(x) in the interval -2n < x < 2n
b) Show that the Fourier series for f(x) in the interval -T <x <T is
1
2
1
sin r + sin 3x +
1
sin 5x +
-
3
...
2
c) By giving an appropriate value to r, show that
1
1
1
+
3
1
4
7
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