Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x) = ex, - 1 < x < 1 ***Solve using power and series (Fourier)(please)**
Determine whether the Fourier series of the following functions converge uniformly or not. A) f(x) = ex, - 1 < x < 1 ***Solve using power and series (Fourier)(please)**
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Question
1)Determine whether the Fourier series of the following functions converge uniformly or not.
A) f(x) = ex, - 1 < x < 1
***Solve using power and series (Fourier)(please)**
answer:
a) The periodic function is not continuous at ± π etc., so the convergence cannot be uniform.
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