Let f(x) be a function given by 0 for - < x < 0, f(x) = sin for 0≤x≤T. (a) Prove whether f(x) is a Dirichlet function. (b) Find the Fourier series of the function f(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 44E
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Question Three
Let f(x) be a function given by
0
for <x<0,
f(x) =
sin for 0≤x≤π.
(a) Prove whether f(r) is a Dirichlet function.
(b) Find the Fourier series of the function f(x).
Transcribed Image Text:Question Three Let f(x) be a function given by 0 for <x<0, f(x) = sin for 0≤x≤π. (a) Prove whether f(r) is a Dirichlet function. (b) Find the Fourier series of the function f(x).
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