Math Help Forum: Stuck on a limit problem

  1. #1
    Newbie
    Joined
    May 2010
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    Stuck on a limit problem

    ********************

    Evaluate the limit.

    limit as x approaches infinity of

    (1 + p/x)^qx

    ********************

    Okay so far this is what I've gotten.

    y = (1 + p/x)^qx

    lny = ln(1 + p/x)^qx

    lny = qxln(1 + p/x)

    limit as x approaches infinity of lny =

    limit as x approaches infinity of qxln(1 + p/x)

    = limit as x approaches infinity of qln(1 + p/x) / (1/x) = 0/0 indeterminate

    If this is wrong please guide me step by step on how to solve this problem as it maybe on my exam tomorrow.
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  3. #2
    Junior Member autumn's Avatar
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    unfortunalty, im stuck in hicks state. IN.
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    rewrite this as

    \left[\left(1+{p\over x}\right)^x\right]^q\to \left(e^p\right)^q=e^{pq}
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  4. #3
    Newbie
    Joined
    May 2010
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    Like i said... if i was wrong then please tell me step by step how to solve it. I'm completely lost at this point.

    I need to learn this type of problem for an exam in the morning

    Thanks again
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