Darcy663
Darcy663
12-07-2015
Mathematics
contestada
Lim (9-x)/(3-√x), x ->9. Correct answer is 6
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konrad509
konrad509
12-07-2015
[tex]\lim_{x\to 9}\dfrac{9-x}{3-\sqrt x}=\\ \lim_{x\to 9}\dfrac{(9-x)'}{(3-\sqrt x)'}=\\ \lim_{x\to 9}\dfrac{-1}{-\dfrac{1}{2\sqrt x}}=\\ \lim_{x\to 9}2\sqrt x=\\ 2\sqrt9=\\ 2\cdot3=\\ 6[/tex]
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