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Math Help - Limits that L'Hopital's Rule doesnt work

  1. #1
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    Limits that L'Hopital's Rule doesnt work

    <br />
\lim_{x \to \infty} \frac{\sqrt{x+5}}{\sqrt{x}+5}<br /> <br />

    <br />
\lim_{x \to \infty} \frac{2x}{x+7\sqrt{x}}<br />

    I can't find a way around it because L'hopital's rule doesnt work
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  2. #2
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    Quote Originally Posted by larryboi7 View Post
    <br />
\lim_{x \to \infty} \frac{\sqrt{x+5}}{\sqrt{x}+5}<br /> <br />

    <br />
\lim_{x \to \infty} \frac{2x}{x+7\sqrt{x}}<br />

    I can't find a way around it because L'hopital's rule doesnt work
    Why it does not work?

    For the first devide top and bottom by \sqrt{x}.
    For the second devide top and bottom by x.
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