2. Find the Fourier series expansion of: So, sin Tz, 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Find the Fourier series expansion of:
So,
-1 <1<0
f(x) =
sin Tx, 0<x<1
and then use it to find the values of the following infinite sums:
1
1
1
(c)
1
1
63
143
255
+
16n2 – 1
1
1
(d)
32
+
152
352
632
(4n² – 1)²
Transcribed Image Text:2. Find the Fourier series expansion of: So, -1 <1<0 f(x) = sin Tx, 0<x<1 and then use it to find the values of the following infinite sums: 1 1 1 (c) 1 1 63 143 255 + 16n2 – 1 1 1 (d) 32 + 152 352 632 (4n² – 1)²
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