Education Technology

# Activities

• ##### Subject Area

• Math: Calculus: Limits of Functions

9-12

15 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

• ##### Accessories

TI Connectivity Cable

## One Sided Limits

#### Activity Overview

Students will be given piecewise functions and asked to evaluate both the left-hand limit and the right-hand limit of the function as x approaches a given number, c. Using sliders, students will estimate the value of the missing variable that makes the left-hand limit and the right-hand limit equal.

#### Key Steps

• Students will be given piecewise functions and asked to evaluate both the left-hand limit and the right-hand limit of the function as x approaches a given number, c. Using sliders, students will estimate the value of the missing variable that makes the left-hand limit and the right-hand limit equal.

• Students will also use a table of values of each function to verify that the values of the function to left and right of c are approaching the same number.