I have a question regarding Fourier Series.    I'm learning now two things:  1- Fourier Series Expansion of Even and Odd Functions ao = 1/2L an= 1/L bn = 1/L 2- Fourier Half-Range Series ao = 1/L an= 2/L bn = 2/L   The formulas for each is different. I know that if the function is odd, ao and an will be zero. And if the function is even, bn=0. But my question is, how can I know if the given question is half-range or not? Like when should I use the second set of formulas? Help please.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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I have a question regarding Fourier Series. 

 

I'm learning now two things: 

1- Fourier Series Expansion of Even and Odd Functions

ao = 1/2L

an= 1/L

bn = 1/L

2- Fourier Half-Range Series

ao = 1/L

an= 2/L

bn = 2/L

 

The formulas for each is different. I know that if the function is odd, ao and an will be zero. And if the function is even, bn=0.

But my question is, how can I know if the given question is half-range or not? Like when should I use the second set of formulas? Help please. 

 

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