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Math Help - Lagrange error problem

  1. #1
    Senior Member
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    Lagrange error problem

    you wish to estimate e^x, over the interval |x|< 2, with an error less than 0.001. The Lagrange error term suggests that you use a Taylor polynomial at 0 with at least

    (A) 6
    (B) 9
    (C) 10
    (D) 11
    (E) 12
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  2. #2
    Senior Member
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    You can evaluate
     \frac {x^n}{n!}<10^{-3}

    x=2

     \frac {2^n}{n!} < 10^{-3}
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  3. #3
    Senior Member
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    Quote Originally Posted by zzzoak View Post
    You can evaluate
     \frac {x^n}{n!}<10^{-3}

    x=2

     \frac {2^n}{n!} < 10^{-3}
    thanks your method for lagrange error is simpler than what i learned in calc class
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