You might want to check if you can use l'Hopitals rule here given the nature of your limit (it should).
I need to find the lim as x approaches 9 from the left of this function:
f(x) = ((sqrt(x))-3)/(x-9)
I know from creating a table of y values when x is near 9 and from looking at its graph that the limit from either side is about 1.6666... , but I have been trying to manipulate the function to get in into a form that allows me to put 9 into the equation and actually solve for an exact answer. I can seem to figure out how. Any ideas?