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Compute: $\displaystyle\lim_{x\rightarrow 2}\frac{\sqrt{x+1}-\sqrt{ 1-x}}{x}$

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    sqrt x+1 means $\sqrt{x} + 1$ or $\sqrt{x+1}$? What about sqrt 1 - x? I'm guessing $\sqrt{1-x}$2012-10-25
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    $(\sqrt3-i)/2$.2012-10-25
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    http://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule2012-10-25
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    L'Hopital is not a good way of learning what the limits are but a really good way to check your answer.2012-10-25
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    You don't need L'Hopital's rule here, the function is continuous at 2, so you can just substitute $x=2$ and evaluate, as @Berci has done.2012-10-25
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    I'm not sure that the problem was to compute the limit when x --> 2...2012-10-25

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