Find the Fourier series expansion of: 0, -1
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:Find the Fourier series expansion of:
0,
f (x) =
-1< x < 0
sin Tx, 0<x <1
and then use it to find the values of the following infinite sums:
1
1
1
1
1
(a)
3
+
+
63
+...
15
35
4n2 – 1
1
(-1)"+1
1
1
(b)
3
-
-
...
15
35
63
4n2 – 1
1
1
1
(c)
15
+
16n2 – 1
+
...
...
63
143
255
1
1
1
1
+
632
1
(d)
32
+.
(4n2 – 1)2
152
352
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