Use l'Hopital's rule to evaluate the following limit:
lim x→0 e^(-1/x) / x for x> 0.
differentiate the top and bottom until a limit can be found. Possibly rewrite as a product.
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.