2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1%; when -7 < x<0 f(x) = when 0
2. (a) Define a Dirichlet function. (b)Assume that f(x) is a function of the form -х-1%; when -7 < x<0 f(x) = when 0
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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![Fourier series
2. (a) Define a Dirichlet function.
(b)Assume that f(x) is a function of the form
-x-1 ; when –T < x < 0
f(x) =
x;
when 0 <r < T
Prove whether f(x) is a Dirichlet function.
3. Show that the Fourier series of the function g(x) = |x|
on the interval [-7,7] is
1
cos(2n – 1)x
4
g(x) =
(2n – 1)²
-
n=1
8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18c9b029-6c7c-4094-bdcc-07c1c92d5708%2Fca41a928-0bf0-43dc-aa88-91da626dd581%2Ftc1ru3b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Fourier series
2. (a) Define a Dirichlet function.
(b)Assume that f(x) is a function of the form
-x-1 ; when –T < x < 0
f(x) =
x;
when 0 <r < T
Prove whether f(x) is a Dirichlet function.
3. Show that the Fourier series of the function g(x) = |x|
on the interval [-7,7] is
1
cos(2n – 1)x
4
g(x) =
(2n – 1)²
-
n=1
8.
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