### Home > PC3 > Chapter 10 > Lesson 10.1.4 > Problem 10-88

10-88.

Use the graph of at right to evaluate each of the following expressions.

This is the limit as

*x*approachesfrom the left. Start on the curve at and move towards. What height is the function approaching?

This is the limit as

approachesfrom the right.

This limit exists if your answers to parts (a) and (b) are the same.

This is the value of the function at

. A function is not defined when there is an open dot.

Is the function continuous at

? Use your answers to parts (a) through (d) to justify your conclusion.A function is continuous at a point if the limit exists and is equal to the function value at that point.