# Activities

• • • ##### Subject Area

• Math: Calculus: Limits of Functions

• ##### Author 9-12

15 Minutes

• ##### Device
• TI-89 / TI-89 Titanium
• ##### Report an Issue

Limit of Sin(x)/x #### Activity Overview

In this activity, students will graph f(x)=sin(x)/x in order to visually determine the limit as x approaches zero. They will confirm the answer numerically by tracing left and right limit points to capture values in a spreadsheet.

#### Key Steps

• In this activity, students begin with an introduction the term indeterminate. Then they graph f (x) = sin(x)/x in order to quickly visually determine the limit as x approaches zero. They also explore the graph using Trace.

• Students set up the table and numerically investigate the values. In order to emphasize that for a limit to exist it must be approaching the same value from both sides, students will examine both sides of zero.

• Students use CAS to algebraically determine the limit. CAS connects the formal mathematical notation of limits to the visual representation examined earlier. They are also given practice problems.