Evaluate the following limits.
Think about the graph of
. Unlike most one-sided limits, this function approaches the same value from the left as it does from the right. You simply need to evaluate.
Refer to the hint in part (a).
Think about the graph
. What happens as ? Is there a horizontal asymptote? If so, the will equal a constant. Or does the function keep increasing? If so, the will approach . Think about the graph of . What happens as
Refer to the hint in part (c). Note: you should be able to visualize the graph of