S 0, The Fourier series of the function f (x) = -T < x < 0 is given by 0 < x < T 1 -cos 5x + ...] + –[sin x – sin 2.x + sin 3x + ...] 8х, 8л 16 1 -cos 3x + 8 1 -[cos x + 4 32 IT The minimum error betweenf and the Fourier polynomials (trigonometric polynomials) of degree 1 equals 1) 24 2) 64( 3 8.
S 0, The Fourier series of the function f (x) = -T < x < 0 is given by 0 < x < T 1 -cos 5x + ...] + –[sin x – sin 2.x + sin 3x + ...] 8х, 8л 16 1 -cos 3x + 8 1 -[cos x + 4 32 IT The minimum error betweenf and the Fourier polynomials (trigonometric polynomials) of degree 1 equals 1) 24 2) 64( 3 8.
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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![0,
-T < x < 0
The Fourier series of the functionf (x)
is given by
0 < x < n
8
8x,
87
16
1
-[cos x +
32
1
1
cos 3x + cos 5x + ..]+ -[sin.x -sin 2x +sin 3x + ...]
52
4
The minimum error between f and the Fourier polynomials (trigonometric
polynomials) of degree 1 equals
5
1)
24
5
2) 64(-
3
8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02bcfdd3-34fa-4861-b5a7-95087afb74cc%2Fd6590efe-f207-4b06-8b91-21da40d19945%2Fx53cjvb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:0,
-T < x < 0
The Fourier series of the functionf (x)
is given by
0 < x < n
8
8x,
87
16
1
-[cos x +
32
1
1
cos 3x + cos 5x + ..]+ -[sin.x -sin 2x +sin 3x + ...]
52
4
The minimum error between f and the Fourier polynomials (trigonometric
polynomials) of degree 1 equals
5
1)
24
5
2) 64(-
3
8.
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