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Math Help - Limit Question

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    Limit Question

    How do I evalutate the lim n->infinity of: (n+1)/n^2
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    Quote Originally Posted by jzellt View Post
    How do I evalutate the lim n->infinity of: (n+1)/n^2
    Since it will tend to \frac{\infty}{\infty}, you can use L'Hospital's rule...

    \lim_{n \to \infty}\frac{n + 1}{n^2} = \lim_{n \to \infty}\frac{\frac{d}{dx}(n + 1)}{\frac{d}{dx}(n^2)}

     = \lim_{n \to \infty}\frac{1}{2n}

     = 0.


    Alternatively, just divide numerator by denominator...

    \lim_{n \to \infty}\frac{n + 1}{n^2} = \lim_{n \to \infty}\frac{1}{n} + \frac{1}{n^2}

     = 0 + 0

     = 0.
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