Thread: Find the limit

f(x) = (x-9)^2(x-3)^3 / sqrt(x-7)

as x approaches 7+ and 7-

edit: Just by looking at it i can tell it DNE for 7-, and it goes to infinity for 7+. But is there a way to simplify this or something? Thanks

Do you know how to solve the difference quotient:

$\displaystyle \frac{f(x+h)-f(x)}{h}$

This problem will simplify so that you are able to directly plug in "7" (since the limit from the left and the right is just 7, no need for the plus and minus) and determine the limit.