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Taylor theorem

  1. Feb 1, 2011 #1
    1. The problem statement, all variables and given/known data
    f(x) = (1+x)^(1/3)
    Use taylor's theorem to write down an expression for the error R_3(x) = f(x) - P_3(x). In what interval does the unknown constant c lie?

    I cant find what value is x where c lies between x and a.
    2. Relevant equations
    in previous question, we are required to find 6^(1/3) by doing 2(1- 1/4)^(1/3)

    3. The attempt at a solution

    i got a= 0 and c must lie between a and x.
    and R_3(x) = 10x^4/[243(1-x)^(11/3)]

    i know the first boundary of c must be zero but i cant find the other boundary
    Last edited: Feb 1, 2011
  2. jcsd
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