Fourier Trigonometric Series for Symmetric Function: Homework Check

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roldy
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Homework Statement


Determine the first three terms in the Fourier trigonometric series for the function shown below.


Homework Equations


Look at attached jpeg. This tex tool is terrible. After making correction to the code, the preview still shows previous preview posts.


The Attempt at a Solution



See attached jpeg for solution and the other attachment for the function. Did I define the function correctly? I didn't solve for bn because this function is symmetric about the y-axis.

First three terms mean a0, a1, and a2 right?
Or is it n=1, 2, 3
 

Attachments

  • Fourier Series copy.jpg
    Fourier Series copy.jpg
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  • Untitled-1.jpg
    Untitled-1.jpg
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Would anyone check this for me please?