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anemone
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Evaluate the limit, if it exists:
$\displaystyle \lim_{{x}\to{\infty}} \left(\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)$.
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$\displaystyle \lim_{{x}\to{\infty}} \left(\sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x}\right)$.
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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!