Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:2. Find the Fourier series expansion of:
0,
f(x) =
-1< x < 0
sin тa, 0 < x<1
and then use it to find the values of the following infinite sums:
1
1
1
+
63
1
1
(a)
+
+
+
4n² – 1
3
15
35
1
-1)n+1
1
+
15
1
1
(Ъ)
3
-
35
63
4n2 – 1
1
1
1
1
1
(c)
15
+
1
63
143
255
16n2
-
1
1
1
1
+
632
1
(d)
+
+
(4n² – 1)2
32
152
352
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