# L'Hopital's Rule.

1. Apr 8, 2013

### SherlockOhms

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.

2. Apr 8, 2013

### jbunniii

What is $\lim_{x \to 0^+} e^{-1/x}$?

3. Apr 8, 2013

### SherlockOhms

It approaches some very small number. Ok, I see now. Thanks!