Education Technology

Limit of Sin(x)/x

Published on 08/01/2010

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

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    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.

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    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.

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    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.