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Math Help - Fourier Series

  1. #1
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    Exclamation 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,
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by sazzy3 View Post
    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<x<-1 \\<br />
-1 & -1<x<0 \\<br />
1 & 0<x<1\\<br />
2-x& 1<x<2 \end{cases}

    CB
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