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Math Help - Taylor series at a point

  1. #1
    Eng
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    Taylor series at a point

    hey can someone help me get the solution for this problem thanks

    The Taylor series for e^x at point x=0 is given by

    e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + (x^5)/5! + ....

    what is the truncation (true) error in the representation of e^1 if only four terms of the series are used?
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  2. #2
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    Quote Originally Posted by Eng View Post
    hey can someone help me get the solution for this problem thanks

    The Taylor series for e^x at point x=0 is given by

    e^x = 1 + x + (x^2)/2! + (x^3)/3! + (x^4)/4! + (x^5)/5! + ....

    what is the truncation (true) error in the representation of e^1 if only four terms of the series are used?
    e \approx 1 + 1 + \frac{1}{2} + \frac{1}{6}<br />

    true error will be, e - (the \, \, approximation)
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