Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

The limit of the function is and the vertical asymptotes is x=8.

Step-by-step explanation:

The given function is

We need to find the value of

The graph of the function f(x) is attached below.

From the graph it is clear that the function approaches to -∞ as x approaches to 8 from left. So, by the graph we can say that

The table of values is attached below. From the table it is clear that the value of f(x) decreasing as the value of x is closed to 8 from left. So, by the table we can say that

To find the vertical asymptotes equate denominator, equal to 0.

Therefore the limit of the function is and the vertical asymptotes is x=8.