Wednesday, 5 February 2014

calculus - How can I evaluate $lim_{x rightarrow 0} frac{left(sqrt{2+x}-sqrt{2} right)}{ x}$?

I am having trouble with this practice problem on limits:



$$\lim_{x \rightarrow 0} \frac{\left(\sqrt{2+x}-\sqrt{2} \right)} {x}$$



The answer is $\sqrt{2} \over 4$, but I'm having trouble seeing how the answer was reached. Any help would be appreciated.

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