0, The Fourier series of the function f(z) = is given by %3D 5x, 57 10 5. cos 5z +...]+[sin z – 2 1 1 1 [cos z + 1 sin 2x +sin 3x +...]. 3 cos 3x + 4 32 52 The minimum error between f and the Fourier polynomials (trigonometric polynomials) of degree 1 equals 573 1) 25( 24 573 2) 24 3) 25( 3 8. 4) 3. 8. 5x3 5) 5( 51

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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0,
The Fourier series of the function f(r) =
{
is given by
%3D
5z,
0<I< T
10
[cos z +
1
cos 57 +...+-sin z
1
cos 3r +
32
52
1
sin 2x +sin 3x + ...].
3
4.
The minimum error between f and the Fourier polynomials (trigonometric polynomials) of degree 1
equals
573
1) 25(-
24
57
2)
24
3) 25(-
3
72).
8.
4)
3.
8
573
5) 5(
24
5.
Transcribed Image Text:0, The Fourier series of the function f(r) = { is given by %3D 5z, 0<I< T 10 [cos z + 1 cos 57 +...+-sin z 1 cos 3r + 32 52 1 sin 2x +sin 3x + ...]. 3 4. The minimum error between f and the Fourier polynomials (trigonometric polynomials) of degree 1 equals 573 1) 25(- 24 57 2) 24 3) 25(- 3 72). 8. 4) 3. 8 573 5) 5( 24 5.
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