The function hx is given in the following graph What is the

The function h(x) is given in the following graph. What is the limit as x goes to infinity? What is the limit as x goes to 3?

Solution

We can see as x goes to infinity the graph tends to 4

a. So limit as x goes to infintiy =4

b.

As we approach x=3 from teh right limit is infinity

If we approach x=3 from the left the limit is -infinity

So the limit at x=3 is not defined