# How do you evaluate # (x^2-16) /( x^2+3x-4)# as x approaches 1+?

##### 1 Answer

Please see the explanation section, below.

#### Explanation:

First note that

Furthermore

The form of this limit is

But we can say more about why the limit does not exist. The one-sided limit does noty exist because the function is either increasing without bound or it is decreasing without bound as

The numerator is approaching a negative number while the denominator goes to

There is one factor approaching

A negative numerator and a positive denominator give us negative values.

The quotient does not approach a limit because, as

We abbreviate the previous sentence by writing