Question

The limit as x-approaches 3 of f(x) is x-3 over x squared -9

Answer 1

notice that the denominator can be factored into (x-3)(x+3).

Now you can cross out (x - 3) from the numerator and denomiantor resulting in a simplified fraction of $\frac{1}{x+3}$

Plug the limit value (which is 3) into the simplified fraction.

Answer: $\frac{1}{6}$