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anonymous
 5 years ago
Find the lim x>4 of ((x^1/2)2)/(x4)
anonymous
 5 years ago
Find the lim x>4 of ((x^1/2)2)/(x4)

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watchmath
 5 years ago
Best ResponseYou've already chosen the best response.2Are we allowed to use L'Hospital rule?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i have the answer i just dont know how to get there.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.2Then you just need to differentiate the top and the bottom and then compute the limit.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah im completely stuck and dont understand it.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.2$$\lim_{x\to 4} \frac{\sqrt{x}2}{x4}=\lim_{x\to 4}\frac{\frac{1}{2}x^{1/2}}{1}=\frac{1}{4}$$

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can also solve this one with conjugate of (sqrt x) 2 multiply top and bottom by (sqrt x) +2 that will eventually get you ((sqrt x)2)^2 in the numerator which equals x4 x4's cancel giving you 1/(sqrt x) =2 in denominator : substitute limit 1/(2+2) = 1/4
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