2. Find the Fourier series expansion of: fo, f(x) = sin zr, 0
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:2. Find the Fourier series expansion of:
So,
f(x) =-
sin zr, 0<r<1
and then use it to find the values of the following infinite sums:
1
1
1.
+..
4n2-1
1
(a)
3
15
35
63
(-1)"+1
4n2 - 1
1.
1.
(b)
3
1
+..+
63
+..
15
35
1
1
(c)
15
+.+
255
+..
63
143
16n2
- 1
1
(d)
1.
+...
152
352
632
(4n2 – 1)2
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