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anonymous
 4 years ago
evaluate the limit algebraically...
lim x>2 (x2)/(sqrt(x)sqrt(4x))
anonymous
 4 years ago
evaluate the limit algebraically... lim x>2 (x2)/(sqrt(x)sqrt(4x))

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\lim_{x\rightarrow 2}\frac{x2}{\sqrt{x}\sqrt{4x}}\] like that?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0first make sure that, if you replace x by 2, you get 0/0, which you do. then multiply numerator and denominator by the conjugate of the denominator, i.e. multiply by \[\frac{\sqrt{x}+\sqrt{4x}}{\sqrt{x}+\sqrt{4x}}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0your new denominator will be \[2x4=2(x2)\] so you can cancel with the \[x2\] in the numerator, leaving only \[\frac{\sqrt{x}+\sqrt{4x}}{2}\] and now replace x by 2

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and don't kick out farmdawg, he doesn't like it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0haha what about a farmdawg? other than that thank you...
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