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Math Help - Help with a limit as n->infinity

  1. #1
    Junior Member Shadow236's Avatar
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    Help with a limit as n->infinity

    Hi guys, I wondered if you could assist me with the following limit...

    lim (n -> infinity) (2n)/(2n + 1)

    At this time the limit is turning out to be (infinity/infinity), which I know is not allowed. For some reason I'm just getting confused with the next step because of the n's in the exponent.
    Thanks for the help!
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  2. #2
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    Re: Help with a limit as n->infinity

    Quote Originally Posted by Shadow236 View Post
    Hi guys, I wondered if you could assist me with the following limit...
    lim (n -> infinity) (2n)/(2n + 1)

    (\forall n)\frac{2^n}{2^{n+1}}=\frac{1}{2}

    So what is the difficulty?
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  3. #3
    Junior Member Shadow236's Avatar
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    Re: Help with a limit as n->infinity

    How did you come to that answer? Shouldn't it be infinity/infinity?

    EDIT: Nevermind, I've got it. The denominator becomes 2n x 2​1, and then the 2's cancel.
    Last edited by Shadow236; April 14th 2013 at 10:17 AM.
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