- #1
BraedenP
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Homework Statement
[tex]\lim_{x \to \infty} \left(e^x-x \right )^{1/x}[/tex]
Homework Equations
The Attempt at a Solution
Should I be equating this to f(x), taking the log of both sides, using L'Hopital's rule on the resulting indeterminate quotient? If I do that, then I end up with a perpetual indeterminate quotient no matter how many times I use L'Hopital's rule because of the [itex]e^x[/itex] in the numerator.
How should I go about doing this?
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