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$$\lim_{x\to 0 } \frac{x}{\ln x}.$$

This was wrong, I got a big red wrong! Why doesn't L'Hôpital work on this one? The problem is that $\ln$ is not defined for 0. It needs to be rewritten?

(Thanks to everyone helping me out with my homework, due anxiety I'm not able attend the class workshops.)

Edit: I did get the correct limit ($0$), but that was a coincidence.

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    Why not, $lim_{x\to 0} \frac{1}{x} = \infty$, so after differentiation of numerator and denominator, you can take limits.2010-11-21
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    Maybe I just have to explicitly say what the domain of the function is positive numbers, and than apply L'Hopital? I've heard that a function isn't a function until it's domain have been mention :p2010-11-21

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