You can see that on the left side of x = 0, the curve approaches −∞, and on the right side of x = 0, the
curve approaches ∞. There are some very important points that we need to emphasize from the last two
examples.
Why do we state the limit in Example 4 but not for Example 5? Because when we have , the function is
always positive no matter what the sign of x is and thus the function has the same limit from the left and