1. The problem statement, all variables and given/known data Use L'Hospitals rule to show that [itex]lim x->0 x^a ln(x) = 0 [/itex] I don't know how to solve this. I guess the first thing to do is to transform it in some way so that one can use L'Hospitals rule, but I don't know how. Thank you! EDIT: a>0 It's not a differential equation as the headline says, my bad.