The Graph of periodic extension of Fourier series f ( x ) = | x | − x , − 1 < x < 1 , Fourier series f ( x ) = 2 x 2 − 1 , − 1 < x < 1 , Cosine Fourier series f ( x ) = e − x , 0 < x < 1 and Sine Fourier series f ( x ) = e − x , 0 < x < 1 to which each series converges.

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Answer 1

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Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

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Answer 2

Question

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

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Answer 3

Question

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

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Answer 4

Question

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

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Answer 5

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

Answer 6

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

Answer 7

Chapter 11, Problem 16RE

To determine

To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - In problem 16 show that the given functions are...Ch. 11.1 - Prob. 6E Ch. 11.1 - Prob. 7E Ch. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 712 show that the given set of...Ch. 11.1 - In Problems 712 show that the given set of...

The Graph of periodic extension of Fourier series f ( x ) = | x | − x , − 1 < x < 1 , Fourier series f ( x ) = 2 x 2 − 1 , − 1 < x < 1 , Cosine Fourier series f ( x ) = e − x , 0 < x < 1 and Sine Fourier series f ( x ) = e − x , 0 < x < 1 to which each series converges.

Solution Summary: The author illustrates the Fourier expansion of the function f(x)=e-x

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To sketch: The Graph of periodic extension of Fourier series f(x)=|x|−x,−1<x<1, Fourier series f(x)=2x2−1,−1<x<1, Cosine Fourier series f(x)=e−x,0<x<1 and Sine Fourier series f(x)=e−x,0<x<1 to which each series converges.

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Chapter 11 Solutions