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1st degree taylor polynomial question

  1. Sep 26, 2007 #1
    1. The problem statement, all variables and given/known data
    find an interval I such that the tangent line error bound is always less than or equal to 0.01 on I

    f(x) = ln(x)
    b = 1

    3. The attempt at a solution
    so basically, i found the tangent line approximation at b = 1, which is t(x) = x -1.

    From there though, i have no idea how to continue.
    I figured out that abs[f(x) - t(x)]is always supposed to be less than 0.01 on I, but i have no idea how to find I.

    thanks alot.
  2. jcsd
  3. Sep 26, 2007 #2


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    Science Advisor
    Homework Helper

    I think you'll want to think about writing down some form of remainder term for the taylor series. There are several. Which one are you expected to use?
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