Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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


    User Avatar
    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook