(i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to deduce that: 1 1 (2k – 1)2 and > 8. (2k – 1)4 96 k=1
(i) Sketch the graph of f and find its Fourier series on [-2, 2]. (ii) Use the obtained series to deduce that: 1 1 (2k – 1)2 and > 8. (2k – 1)4 96 k=1
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 2SE: What is the composition of two functions, fg ?
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![4. Consider the following function:
-х — 2, —2<x<-1
-1 < x < 1
1< x < 2.
f(x) = { x,
2 - x,
(i) Sketch the graph of f and find its Fourier series on [-2, 2].
(ii) Use the obtained series to deduce that:
1
(2k – 1)2
k=1
and >
8.
(2k – 1)4
96
k=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac82f28a-c634-4fa4-8eee-abcb05719651%2F330cb5f5-cc35-4c1d-afe2-9b9e838d409e%2Fdnwmuu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider the following function:
-х — 2, —2<x<-1
-1 < x < 1
1< x < 2.
f(x) = { x,
2 - x,
(i) Sketch the graph of f and find its Fourier series on [-2, 2].
(ii) Use the obtained series to deduce that:
1
(2k – 1)2
k=1
and >
8.
(2k – 1)4
96
k=1
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