Chp. 13.1 Finding Limits Using Tables and Graphs
What is a Limit?
Intended height of a function.
OR
a number such that the value of a given function remains arbitrarily
close to this number when the independent variable is sufficiently
close to a specified point
Chp. 13.1 Finding Limits Using Tables and Graphs
What is a Limit?
Notation:
Graph and find the limit using a table.
1. Type the function into your calculator.
2. "Table Set" change Indpnt Variable to ask.
3. At 2nd Table, use the values 2.99, 2.999, 2.9999,
3.0001,
3.001, 3.01
"Why did I choose these numbers???"
What value are we approaching from either side of 3?
Graph and find the limit using a table.
This time....choose numbers to the left and right of 2.
what is the value at x=2?
Now...factor the function....what happens???
Graph and find the limit using a table.
Substitute the "c" value into the function.
Look at the graph and the table (get closer to "c" on either side.
Find the Limit by graphing.
Find the Limit by graphing.
Find the Limit by looking at the table.
"plug" in 2....
Factor and cancel...
What is the limit now...
Assignment:
p. 948, # 1 - 15o
graph on graph paper
17 Problems.....
17-33eoo
37-41odd