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Using a power series to estimate a function

  1. Nov 12, 2008 #1
    I'm having a problem with estimating a function using a power series... the problem is

    Use the power series for f(x)= (5+x)^(1/3) to estimate 5.08^(1/3) correct to four decimal places.

    I found all the derivatives of f(x) but i'm not sure how to make it into a power series or what form to use for a cubic root...
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Nov 12, 2008 #2
    I believe if you use a Taylor Series expansion(which I believe is a power series), you should be able to approximate it using this formula:

  4. Nov 13, 2008 #3
    thank you!
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