1. The problem statement, all variables and given/known data Use l'Hopital's rule to evaluate the following limit: lim x→0 e^(-1/x) / x for x> 0. 2. Relevant equations differentiate the top and bottom until a limit can be found. Possibly rewrite as a product. 3. The attempt at a solution I was under the impression that l'Hopital's rule could only be used for evaluating limits of indeterminate form i.e. 0/0 or ∞/∞. The above quotient doesn't fall into this category, does it? If someone could clear this up for me it'd be great.