Answered: Prove that the Fourier series of the…

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Prove that the Fourier series of the function f(x)=x2 converges uniformly to f(x) on the interval [−π,π].

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.4: Graphs Of Logarithmic Functions

Problem 60SE: Prove the conjecture made in the previous exercise.

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Question

Prove that the Fourier series of the function f(x)=x2 converges uniformly to f(x) on the interval [−π,π].

Expert Solution

Step 1

We are given the function f(x) = x² .

Our aim is to show that the Fourier series of function f(x) converges uniformly on the given interval.

Step by step

Solved in 2 steps

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