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Thread: Evaluate to see if the limit exists?

  1. October 21st 2010, 12:25 PM #1
    swtdelicaterose
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    Evaluate to see if the limit exists?

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

    I'm not quite sure how to solve this equation, can someone help me?
    Thank you!
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  2. October 21st 2010, 12:38 PM #2
    chisigma
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    Is...

    \displaystyle \frac{\sqrt{x+x^{2}}}{x} = \frac{\sqrt{1+\frac{1}{x}}}{1}

    ... so that...

    Kind regards

    \chi \sigma
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  3. October 21st 2010, 12:45 PM #3
    Ackbeet
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    Hmm. Careful with the signs. x < 0.
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