1. The problem statement, all variables and given/known data lim as x->0 (tan(x)-x)/(sin2x-2x) 2. Relevant equations L'Hopitals rule states that if the limit reaches 0/0, you can take the derivative of the top and the bottom until you get the real limit. 3. The attempt at a solution (sec^2(x)-1)/(2cos2x-2) still 0/0 2sec^2(x)tan(x)/(-4sin(2x)) still 0/0 I have pain stakingly taken the derivative twice more and it simply does not seem to reach any end. All help is very much appreciated!