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Math Help - limits - number e

  1. #1
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    limits - number e

    Hi,could anyone please help me solve this?
    lim [(n+2)/(n-2)]^n/2
    n approaches infinity

    Thank you so much!!!
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  2. #2
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    Quote Originally Posted by alternative View Post
    Hi,could anyone please help me solve this?
    lim [(n+2)/(n-2)]^n/2
    n approaches infinity

    Thank you so much!!!
    \left( {\frac{{n + 2}}{{n - 2}}} \right)^{\frac{n}{2}}  = \left( {1 + \frac{4}{{n - 2}}} \right)^{\frac{n}{2}}
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  3. #3
    MHF Contributor chisigma's Avatar
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    Quote Originally Posted by alternative View Post
    Hi,could anyone please help me solve this?
    lim [(n+2)/(n-2)]^n/2
    n approaches infinity

    Thank you so much!!!
    Hint for an alternative approach to the one suggested in post #2:

    Take into account that...

    (1)

    ... and that for x 'small enough' is...

    (2)

    Kind regards

    \chi \sigma
    Last edited by mr fantastic; May 4th 2011 at 06:40 PM. Reason: Added first sentence.
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