Lesson: Limits from Tables and Graphs Mathematics • Higher Education

In this lesson, we will learn how to evaluate the limit of a function using tables and graphs.

Lesson Plan

Objectives

Students will be able to

find the limit of a function as it approaches a point using a graph,
find the limit of a function as it approaches a point using a table,
evaluate the limit of a function by evaluating the function in the neighborhood of the value the limit is approaching.

Prerequisites

Students should already be familiar with

piecewise functions,
limit notation.

Exclusions

Students will not cover

finding limits by direct substitution,
evaluating limits using algebraic techniques,
limits at infinity and unbounded limits.

Lesson Video

Lesson Explainer

Sample Question Videos

03:00
03:03
02:28

Lesson Worksheet

Q1:

Estimate numerically, given that .

	4.9	4.99	4.999		5		5.001	5.01	5.1
	9.8	9.98	9.998				10.002	10.02	10.2

Q2:

Determine by evaluating the function at the following values of : , , , , and .

Q3:

Determine , if it exists, by evaluating the function at the following values of : , , , , , , , , , , , and , rounding the result to the nearest six decimal places.