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Homework Help: L'Hopital's Rule.

  1. Apr 8, 2013 #1
    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. jcsd
  3. Apr 8, 2013 #2


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    What is ##\lim_{x \to 0^+} e^{-1/x}##?
  4. Apr 8, 2013 #3
    It approaches some very small number. Ok, I see now. Thanks!
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