Question

Fourier series for this piecewise funtion:
f(x)=\[0 for -L \le x < -L/2\]\[1 for -L/2 \le x < L/2\]\[0 for L/2 \le x < L\]

Answer 1

HAH! I got it. :) Thanks for the try eliassaab.

Answer 2

I had no idea that you were once a math professor!

Answer 3

What did you get?

Answer 4

actually... I only found \[a_0\]

Answer 5

which is one. But I got a_n but don't understand why its odd.

Answer 6

What did you find for \[a_0\]

Answer 7

This is what I have so far. \[1/2 + \sum_{n=1}^{00} ((-1)\cos( pi (nx)/L)/n)\]

Answer 8

the function is odd?!

Answer 9

so the chart looks like that... I don't see how its odd..

Answer 10

I am going for a hike now. See you later.

Answer 11

thanks!!

Answer 12

Sorry.
I read that between -L/2 and L/2 the function is x.
My expansion is for that case.
Yours is for the function being 1 for x between -L/2 and L/2.

Answer 13

Yeah, it was tripping me up.