This is just a problem I came across while reviewing basic calculus.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find the limit as x approaches 0 of f(x)=(1/(x(x+1)^1/2)) - (1/x)

2. Relevant equations

3. The attempt at a solution

My problem here is really more of an algebra problem than a calculus problem. I cannot for the life of me remember how to get the limit of the denominator of either term to not equal 0. I've tried everything I can think of (rationalizing the denominator, etc.), to no avail.

I could find no tutorials either online or in my book that use an example quite like this one. It's truly maddening, especially because I know I should have learned this 6 years ago in Algebra.

Thanks in advance. Hope you can help.

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# Finding the Limit of a Rational Function

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