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Math Help - Taylor expansion derivative

  1. #1
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    Taylor expansion derivative

    Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

    do the same for

    [f(
    xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

    to prove it is
    O(h2)

    Please i need some help i am terribly confused
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by hunter55 View Post
    Using Taylor expansion, show that the one-sided formula (f-2-4f-1+3f)/2h is indeed O(h2). Here f-2, for example, stands for f(xo-2h), and f-1 = f(xo-h), so on.

    do the same for

    [f(xo+h)-2f(xo)+f(xo)+f(xo-h)]/(h2)

    to prove it is O(h2)

    Please i need some help i am terribly confused
    I have absolutely no idea what this says.

    \frac{f(x_0-2h)-4f(x_1-h)+3f(x_0)}{2h}=O(h^2)?
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  3. #3
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    yaa

    yaa
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