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Math Help - Solving limits with two radicals in the numerator

  1. #1
    Mcd
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    Solving limits with two radicals in the numerator

    Limit as x approaches 0 √5+x - √5/x

    I started working on this problem but...

    √5+x - √5/x

    (√5+x - √5/x)(√5+x + √5/√5+x + √5)

    ... I have no idea what to do because there are two radicals in the numerator.
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  2. #2
    Master Of Puppets
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    Re: Solving limits with two radicals in the numerator

    Is this your problem?

    \displaystyle \lim_{x \to 0} \sqrt{5}+x-\frac{\sqrt{5}}{x}

    or is it this?

    \displaystyle \lim_{x \to 0} \frac{\sqrt{5}+x-\sqrt{5}}{x}
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  3. #3
    Mcd
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    Re: Solving limits with two radicals in the numerator

    It looks like this \displaystyle \lim_{x \to 0} \frac{\sqrt{5}+x-\sqrt{5}}{x} except 5 + x is under one radical sign.
    Last edited by Mcd; May 3rd 2012 at 10:44 PM.
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