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## Homework Statement

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

## Homework Equations

## 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.