We just learned l'Hopital's rule in class and I am having a difficult time evaluating a limit with it. The question provides the limit as h approaches zero of (1/h^2) * integral of x*f(x)dx from 0 to h. Any help is greatly appreciated. I am trying to use integration by parts first and then apply l'Hopital's rule, but when I check with some test values, my answers are always wrong.