1. ## Fourier Series

F(X)= 1, 0<X<1
2-x 1<X<2

I need to extend f as an odd function over [-2,2] and find the fourier sine series,

Then i need to extend f as an even functun over [-2,2] and find the fourier cosine series,

2. Originally Posted by sazzy3
F(X)= 1, 0<X<1
2-x 1<X<2

I need to extend f as an odd function over [-2,2] and find the fourier sine series,

Then i need to extend f as an even functun over [-2,2] and find the fourier cosine series,
What have you done?

Odd extension:

$F(x) = \begin{cases} -(2+x) & -2 -1 & -1 1 & 0 2-x& 1

CB