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Calculate error using Lagrange formula

  1. May 7, 2008 #1
    hi everyone! I'm having difficulty figuring this problem out. so here goes:

    f(x) = sin(x)

    Use the Lagrange formula to find the smallest value of n so that the nth degree Taylor polynomial for f centered at x = 0 approximates f at x = 1 with an error of no more that 0.001.

    whatever help anyone can provide would be great
  2. jcsd
  3. May 7, 2008 #2


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    Staff Emeritus
    Science Advisor

    Well, the first thing I would do is write out the "Lagrange" formula for the error! Then follow that formula. Knowing that sin(x) and cos(x) are never larger than 1 helps.
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