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Math Help - Limit Problemm

  1. #1
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    Limit Problemm

    Hey, I have a problem that is sort of getting me. Any help would be appreciated

    As x approaches infinity, find the limit of sqrt((x^2)+4)/x


    Thanks!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by AC221 View Post
    Hey, I have a problem that is sort of getting me. Any help would be appreciated

    As x approaches infinity, find the limit of sqrt((x^2)+4)/x


    Thanks!
    Noting that \sqrt{x^2}=x, note that \lim_{x\to\infty}\frac{\sqrt{x^2+4}}{x}=\lim_{x\to  \infty}\sqrt{\frac{x^2+4}{x^2}}=\lim_{x\to\infty}\  sqrt{1+\frac{4}{x^2}}.

    Can you take it from here?
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