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Alignment
- Standards Alignment
- Textbook Alignment
Subject Area
- Math: Calculus: Limits of Functions
Author

Texas Instruments
Level

9-12
Activity Time

15 Minutes
Device
- TI-Nspire™ Navigator™
- TI-Nspire™ CAS
Software

TI-Nspire™ CAS
TI-Nspire Version

2.0
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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 will graph the function f (x) = sin(x)/xin order to visually determine the limit as x approaches zero.
Students set up automated data capture 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.