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Math Help - Limits (infinity problems)

  1. #1
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    Limits (infinity problems)

    I really need help with these 2 questions

    Lim (X+√(x^2+2x))
    X-->-∞ 


    Lim 3√(1+X) - 3√(X)
    X-->∞

    Thank You in advance
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  2. #2
    MHF Contributor chiph588@'s Avatar
    Joined
    Sep 2008
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    Champaign, Illinois
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    1,163
    We have the indeterminate form of  \displaystyle \infty-\infty here.

    Suppose  \displaystyle \lim_{x\to-\infty}(f-g) is of the form  \displaystyle \infty-\infty . To apply L'Hopital's rule, notice  \displaystyle f-g = \frac{1/g-1/f}{1/(fg)} .

    Now we'll get the indeterminate form  \displaystyle \frac00 .
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