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Thread: Limit with binomial Coefficients

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    Limit with binomial Coefficients



    Last edited by juantheron; 5 Jun 2018 at 6:33 PM.

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    Re: Limit with binomial Coefficients

    consider stirlings formula
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    Re: Limit with binomial Coefficients

    Quote Originally Posted by juantheron View Post


    The first and last index terms can be discarded, since log(1) = 0

    Rearrange the factorials to obtain:



    From there, an integral approximation of the sum should be sufficient and necessary to extract the limit.
    juantheron likes this.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Re: Limit with binomial Coefficients

    Quote Originally Posted by BenHowe View Post
    consider stirlings formula
    slight overkill you can just use the thing i just posted with a riemann approximation to find the limit
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

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    Re: Limit with binomial Coefficients

    To paradoxica would you like to explain me in detail. Thanks

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