Calculus: Limits of Functions

Objectives

• Investigate the limit of a function at a point through numerical evaluation.

About the Lesson

The Limits_of_functions.tns TI-Nspire document provides a simple but powerful tool for investigating limits of functions numerically. The idea is to consider the limit of f(x) as x approaches a by substituting a sequence of numerical values for x that get closer and closer to a (without actually reaching a). It is important to consider sequences of values that approach a both from above (that is, values that are greater than a) and from below (through values that are less than a).