This is just a problem I came across while reviewing basic calculus. 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.