Meghan M.

Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time for each runner. Describe in words what the graph tells you about this race. Who won the race? Did each runner finish the race?

Limits That Fail to Exist Identify three types of behavior associated with the nonexistence of a limit.
Illustrate each type with a graph of a function.

Functions and Limits Is the limit of $f(x)$ as $x$ approaches calways equal to $f(c) ?$ Why or why not?

In Exercises21-28, use the graph to find the limit (if it exists).If the limit does not exist, explain why.
$\lim _{x \rightarrow 0} \sec x$

In Exercises 21-28, use the graph to find the limit (if it exists). If the limit does not exist, explain why.
$$\lim _{x \rightarrow 1} f(x)$$

In Exercises 21-28, use the graph to find the limit (if it exists). If the limit does not exist, explain why.$$\lim _{x \rightarrow 5} \frac{2}{x-5}$$