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    Prove that Lim_x--> infinity (1 - 1/x)^x = 1/e.

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    Prove that Lim_x--> infinity (1 - 1/x)^x = 1/e.

    The complete problem is in the attached file.

    © BrainMass Inc. brainmass.com October 10, 2019, 8:16 am ad1c9bdddf
    https://brainmass.com/math/basic-algebra/616971

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    The solution is in the attached file.

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    Solution Summary

    It proves that the limit of the function (1 - 1/x)^x is equal to 1/e ,
    where e is the mathematical constant
    The solution is given in detail.
    It also express the limit of the function (1 + 1/n)^n is equal to e.

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