Consider the function f : [-L, L] → R given by (x+L, if – L
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![Consider the function f : [-L, L] → R given by
(x +L, if – L <r< -
if – L< x < –
if - :< x < 0
L
2
L
L
f (x) =
2
x2,
if 0 < x < L.
Find the value to which the Fourier series of f at x converges when
(а) х
(b) х —
-L
%—
L
-
2
(c) x
(d) х
- L.
2
(е) х —](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff975724c-f6e6-4f11-80b9-86a7fa975ad8%2F97e9f731-83aa-43f2-b9b2-a84c8e6116bd%2F5d42a6e_processed.png&w=3840&q=75)
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- ! please solve (d) partf(t) = Having fourier series? = t² 2, - 2π < t < 0, 2π², 0Prove that f(x)={-3x if -pi<x<0, 3x if 0<x<pi is an even function using fourier series expansion.Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 for +1 for I -H! please solve (c) partIf f (x) = sin x in the interval -nRecommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
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