In this module you will use graphical, numerical and symbolic methods to investigate limits. You will begin by finding specific tolerances for a function, and then you will move to the general definition of the limit of a function. You will also use the TI-89 limit( command to examine limits.

Lesson Index:

4.1 - Tolerances

4.2 - Definition of Limit

4.3 - TI-89 Limit Function

After completing this module, you should be able to do the following:

• Use the Intersection and Trace features of the TI-89
• Find the tolerance for x that produces a given tolerance for y in a function
• Understand the definition of the limit of a function
• Use the TI-89 limit( command to evaluate limits
• Describe limits symbolically, graphically and numerically