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Homework Help: Taylor polynomial

  1. Aug 13, 2008 #1
    1. The problem statement, all variables and given/known data

    I can either use the alternating series estimation thereom (which i don't really know) or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error.

    sin(x) = x - (x^3)/6 (|error| < 0.01)

    Do I just start writing out the terms of the sine series? I'm not sure exactly what I'm supposed to do here.
  2. jcsd
  3. Aug 13, 2008 #2


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    You are supposed to estimate the error in a truncation of the infinite series. As you don't seem to know either the alternating series estimate or the Taylor series remainder term, I think you will need to look at least one of them up. Can you do that? I would suggest starting with the alternating series version. It's easier.
  4. Aug 13, 2008 #3
    thanks, Dick, I will look that up
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