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MacLaurin Expansion to Find Higher Derivative

  1. Dec 4, 2011 #1
    1. The problem statement, all variables and given/known data

    Find the MacLaurin series expansion of f(x)=(x^3)/(x+2). Find also the higher derivative f(10)(0)

    2. Relevant equations



    3. The attempt at a solution

    I'm not sure how to approach this question. The derivative of f(x) becomes larger and larger and I'm not sure how to calculate the higher derivative.
     
  2. jcsd
  3. Dec 4, 2011 #2

    micromass

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    Hint:

    [tex]\frac{1}{1-x}=1+x+x^2+x^3+...[/tex]

    Can you use this to find the power series of

    [tex]\frac{1}{x+2}[/tex]
     
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