Posted by **Annie** on Tuesday, June 25, 2013 at 4:06pm.

limit as x approaches 9 of (8/(sqrt(x)-3)) - (48)(x-9)

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**MathMate**, Tuesday, June 25, 2013 at 4:52pm
Check for type, I believe the question should read:

(8/(sqrt(x)-3)) - (48)/x-9)

=(8(sqrt(x)+3)/(x-9)- 48/(x-9) ... multiply top & bottom by sqrt(x)+3

=(8sqrt(x)-24)/(x-9)

=(8(1/2)/sqrt(x)) / 1 ... diff. top and bottom, de l'hôpital's rule

=4/3

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