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Taylor prob

  1. Jul 29, 2012 #1
    i really need help with this prob f(x)=1/1-2x i have to calculate T2(x) at -1 on the interval -1.5,-1 with an error less than 1/80.
    I got f"'=48/(1-2x)^4 and f"'(-1.5)=3/16 and i cant get the error at 1/80 . Thank you
  2. jcsd
  3. Jul 29, 2012 #2


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    Staff: Mentor

    There are several methods to give an upper bound on the error. The one I would use requires the (n+1)th derivative at some point in the interval - take the point where the absolute value of the derivative has the largest value for an upper bound.

    Does this help to fill the gaps in your answer?
  4. Jul 30, 2012 #3
    yep, thank you
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