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Taylor series

  1. Jan 4, 2009 #1
    1. The problem statement, all variables and given/known data

    Use Taylor's Theorem to estimate the order of the truncation error in the following approximate formula, when the step size is small:



    2. Relevant equations

    f ' (x) = [-f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h)]/[12h]



    3. The attempt at a solution

    i know that to find the error i need to express the formula in a taylor series, and then i just take the next term and evaluate the derivative at that point.

    I have no idea how to use the taylor's theorem though.
     
  2. jcsd
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