Finding Limits Using Tables and Graphs

1
Finding Limits Using Tables and Graphs

• Sections 11.1

2
Objectives

• Find limits using tables.
• Find limits using graphs.
• Find one-sided limits and use them to determine
  if a limit exists.

3
Vocabulary

• limit
• limit notation
• one-sided limits
• calculus

4
Construct a table to find
5
Construct a table to find
6
Construct a table to find
7
Construct a table to find
8
Using the graph of f(x) below, find the indicated
values (if they exist)
9
Using the graph of f(x) below, find the indicated
values (if they exist)
10
Graph the function and then find the indicated
limit, if it exists.
11
Graph the function and then find the indicated
limit, if it exists.
12
Graph the function and then find the indicated
limit, if it exists.
13
Use the equation for the function f to find and
graph the function y f -1(x). Then use the
graph of f -1 to find the indicated limit