Two new problems for l'Hopital's rule exercise

I noticed that the exercise for the l'Hopital's rule can be solved by dividing numerator and denominator by appropriate degree of x, without actually doing the derivation. So here are two problem types which are harder to solve without the l'Hopital's rule. See comments in code for details.
http://sandcastle.khanacademy.org/media/castles/garypoison:lhopital/exercises/lhopitals_rule.html