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Maclaurin Series

  1. Jan 25, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the Maclaurin series for f(x)= 1/ (1+x+X2)

    2. Relevant equations

    3. The attempt at a solution

    I think the book says I can just divide 1 by the Maclaurin series of (1+x+X2). And when i do this the original function is the answer (which makes sense).

    But when I do it my finding the derivatives of f(x) and then using the formula I get f(x) = 1-x+x3.

    So I was wondering if
    1) Which way is correct
    2) is the second one accurate.

  2. jcsd
  3. Jan 25, 2009 #2


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    Science Advisor
    Homework Helper

    The second way is accurate. The first way would be as well if you do what they want you to. You are supposed to divide 1 by 1+x+x^2 using polynomial division. The result is NOT 1+x+x^2.
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