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Homework Help: Approximation Using Taylor POlynomial

  1. May 30, 2012 #1
    Find an approximate value of the number e-0.1 with an error less than 10-3

    ı know that ex = Ʃ(from zero to ınfinity) xn / n!=1+x/1!+x
    2
    /2!+....

    ı don't know how to use e-0.1 in this question.Do ı write -0.1 instead of x in ex series?
     
  2. jcsd
  3. May 30, 2012 #2

    tiny-tim

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    yup! :biggrin:
     
  4. May 30, 2012 #3
    Since you are asked to calculate to within a particular accuracy, what you need is not the Taylor series, but a Taylor polynomial plus remainder estimate.
     
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