1. The problem statement, all variables and given/known data Lim tan (x^1/2)/ [x (x+1/2)^1/2 ] x-> 0 3. The attempt at a solution I have attempted to differentiate both the denominator and numerator seperately but this just seems to complicate the whole equations and I still get a limit of 0. I had an idea to square everything, in which case I get a limit of 1. However, I do not think [tan (x^1/2)]^2 = tanx Please help? My friend and I have been trying to work this out. It isn't homework, merely revision and further understanding.