# How do you find the limit of #x/sqrt(x^2-9)# as #x->3^-#?

##### 1 Answer

Dec 7, 2016

The limit does not exist.

#### Explanation:

If we are staying in the real numbers, then the domain of the function is

If we are allowed to use imaginary numbers, then the limit still does not exist, because as x approaches 3 from the left, the numerator goes to 3 and the denominator goes to