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Math Help - Strange limit

  1. #1
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    Strange limit

    Hi,

    Why does the limit of ((n+1)/n)^n when n -> infinity gives "e"? I calculated some values, but I thought that n+1 gave n, so it gave (n/n)^n = 1.

    Thanks
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  2. #2
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    Quote Originally Posted by Xzander View Post
    Hi,

    Why does the limit of ((n+1)/n)^n when n -> infinity gives "e"? I calculated some values, but I thought that n+1 gave n, so it gave (n/n)^n = 1.

    Thanks
    Does the limit \lim_{h \to \infty} \left(1 + \frac{1}{h}\right)^h look familiar?

    Notice that \frac{n + 1}{n} = 1 + \frac{1}{n}.
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  3. #3
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    Thanks I understand now.
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