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Math Help - Calculus Limits Problem

  1. #1
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    Calculus Limits Problem

    Find the limits:

    a) lim (2x)/(sqrt((x^2)+1))
    x-->infinity


    b) lim (2x)/(sqrt((x^2)+1))
    x-->-infinity
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  2. #2
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    Limits to infinity take the highest power of x of the numerator and denominator.

    \displaystyle \lim_{x\to\infty}\frac{2x}{\sqrt{x^2}}=\lim_{x\to\  infty}\frac{2x}{x}=2

    Remember \displaystyle \sqrt{x^2}=\pm x. Now, try b.
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