Compute: $\displaystyle\lim_{x\rightarrow 2}\frac{\sqrt{x+1}-\sqrt{ 1-x}}{x}$
What are good ways to find the limits of this function?
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calculus
limits
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0sqrt 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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0$(\sqrt3-i)/2$. – 2012-10-25
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0http://en.wikipedia.org/wiki/L'H%C3%B4pital's_rule – 2012-10-25
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0L'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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0You 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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1I'm not sure that the problem was to compute the limit when x --> 2... – 2012-10-25