Lim (9-x)/(3-√x), x ->9. Correct answer is 6

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12-07-2015
Mathematics

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Lim (9-x)/(3-√x), x ->9. Correct answer is 6

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konrad509 konrad509 · Answer 1 · 2015-07-12T13:55:59+02:00

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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