The function is .

Graph the function:

Observe the graph:

As  tends to  from left, the function approaches to .

.

The function is .

When  approaches to  from the left ,  is a small negative number.

Thus , the quotient  is a large negative number and  approaches negative infinity from the left .

.

 decreases without bound as  approaches  from the left.

We can verify the limit by the below table .  

A limit in which  increases or decreases without bound as  approaches  is called an infinite limit.

As  tends to  from left, the function approaches to .

.

.