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Homework Help: Taylor series derivative

  1. Nov 16, 2008 #1
    1. The problem statement, all variables and given/known data

    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.



    3. The attempt at a solution

    Can some1 help me get starte, im greatly confused
     
  2. jcsd
  3. Nov 16, 2008 #2

    Dick

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    Taylors expansion lets you relate f(x+h) to powers of h and derivatives of f, right? Use it. If you have something like f(x-3h) just substitute -3h for h in the taylor expansion of f(x+h). I don't think that expression of (Oh^2). Are you sure you copied it correctly?
     
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