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I'm trying to solve this limit, but I can't get it out of a $\frac{0}{0}$ indetermination:

$$\displaystyle \lim_{x \to 4} \; \frac{x-4}{5-\sqrt{x^2+9}}$$

Maybe there is something I'm missing. Thanks a lot in advanced.

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    Thanks a bunch guys, you were very helpful!2011-05-09
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    No problem. Could you accept one of the answers so that this question does not keep popping up on the first page?2011-05-09

6 Answers 6