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

1 answer:

8 0

$\lim_{x\to 9}\dfrac{9-x}{3-\sqrt x}=\\
\lim_{x\to 9}\dfrac{(9-x)'}{(3-\sqrt x)'}=\\
\lim_{x\to 9}\dfrac{-1}{-\dfrac{1}{2\sqrt x}}=\\
\lim_{x\to 9}2\sqrt x=\\
2\sqrt9=\\
2\cdot3=\\
6$

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