# How do you evaluate #(x^2-14x-32) / (xsqrt(x -64)# as x approaches 16?

##### 1 Answer

Note that as

#### Explanation:

In a course in the calculus or real numbers, this might be a typographic error or the desired answer might be "is not defined".

Many introductory courses give definitions of limits only for real valued functions of real variables. In such a course, the domain of the expression is

In a course that includes imaginary complex numbers, the fact that the numerator goes to

Note that the numerator can be factored:

at which point it is easier to see that it goes to