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anonymous
 5 years ago
evaluate limit lim as x approaches 2 of (x2)/(Sqrt x)(Sqrt (4x))
anonymous
 5 years ago
evaluate limit lim as x approaches 2 of (x2)/(Sqrt x)(Sqrt (4x))

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[(x2)\over \sqrt{x}\sqrt{4x}\] right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Did I rewrite the problem correctly?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When you plug in 2 you get \[0 \over 0\], a indeterminate. SO we may apply L'Hopital Rule

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or rationalize the denominator if you have not gotten to l'hopital yet

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then cancel, plug in 2, and get the answer

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i will write it if you like

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0manny are familiar with LHopital rule?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{x2}{\sqrt{x}\sqrt{4x}}=\frac{x2}{\sqrt{x}\sqrt{4x}}\times \frac{\sqrt{x}+\sqrt{4x}}{\sqrt{x}+\sqrt{4x}}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{(x2)(\sqrt{x}+\sqrt{x4})}{2x4}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[=\frac{\sqrt{x}+\sqrt{4x}}{2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now replace x by 2 and get \[\frac{2\sqrt{2}}{2}=\sqrt{2}\]
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