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Math Help - Taylor's Theorem Question

  1. #1
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    Taylor's Theorem Question

    Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error. (Round your answers to five decimal places.)

    e ≈ 1+ 1 + ((1^2)/2!) + ((1^3)/3!) + ((1^4)/4!) + ((1^5)/5!)

    R5 <= .00378 (I understand how to do this part).
    R5 = ??? (I need help on how to calculate the exact error value.)

    Any help would be great, thanks!








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  2. #2
    MHF Contributor alexmahone's Avatar
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    Quote Originally Posted by thedarkdragon65 View Post
    Use Taylor's Theorem to obtain an upper bound for the error of the approximation. Then calculate the exact value of the error. (Round your answers to five decimal places.)

    e ≈ 1+ 1 + ((1^2)/2!) + ((1^3)/3!) + ((1^4)/4!) + ((1^5)/5!)

    R5 <= .00378 (I understand how to do this part).
    R5 = ??? (I need help on how to calculate the exact error value.)

    Any help would be great, thanks!








    error=e-(2+1/2+1/6+1/24+1/120)

    Can you finish off?
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