1 if |x|<1 lo if 1<|x|<< 2 7. f(x) = f(x + 4) = f(x)
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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Transcribed Image Text:ſ1 if |x|<1
0 if 1<|x|< 2
7. f(x) =
f(x + 4) = f(x)
![1-6 A function ƒ is given on the interval [-7, ] and f is
periodic with period 277.
(a) Find the Fourier coefficients of f.
(b) Find the Fourier series of f. For what values of x is f(x) equal
to its Fourier series?
(c) Graph f and the partial sums S2, S4, and Ss of the Fourier series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2132c2f6-9c4b-4fab-b919-8b857e274fe0%2Fc5a68664-7f76-4ca9-b42f-2b4fa1360736%2Fw9ckem_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1-6 A function ƒ is given on the interval [-7, ] and f is
periodic with period 277.
(a) Find the Fourier coefficients of f.
(b) Find the Fourier series of f. For what values of x is f(x) equal
to its Fourier series?
(c) Graph f and the partial sums S2, S4, and Ss of the Fourier series.
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