1-solve the Fourier series for the function f (x) = x² + 2 ,and%3Dπ x < π.2n2 +12n1 47(-1)",A:f (x)Ln3D1NTOcosnxп2n3 +12n1 47(-1)",B:f (x) :+ En=1cosnxLn3D1n2+6%3D31 4n(-1)",C:f (x)+ Zn=1-)cosnx2 +61 47(-1)".D:f (x) =3+ En=1Cosnx%3D2n=D1nE: (х)2+6+ ΣπA-1)")cosnx4(-1)",Эcosnx3Ln=1nnF: none of above

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1-solve the Fourier series for the function f (x) = x² + 2 ,and %3D π

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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Question

1-solve the Fourier series for the function f (x) = x² + 2 ,and
%3D
π x < π.
2n2 +12n
1 47(-1)",
A:f (x)
Ln3D1
NT
Ocosnx
п
2n3 +12n
1 47(-1)",
B:f (x) :
+ En=1
cosnx
Ln3D1
n
2+6
%3D
3
1 4n(-1)",
C:f (x)
+ Zn=1
-)cosnx
2 +6
1 47(-1)".
D:f (x) =
3
+ En=1
Cosnx
%3D
2n=D1
n
E: (х)
2+6
+ Σπ
A-1)")cosnx
4(-1)",
Эcosnx
3
Ln=1
n
n
F: none of above

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