Question

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

Answer 1

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