Section 2.4
Dr. Matthew Simpson
An Example Revisited
Lets look back at the function from the first section.
Weve already found by just building a table that
and
Lets graph the function and see what this means graphically
Infinite Limits
The type of limit
Use the graph of the function to determine the following limits:
1.
*graph and look at
2.
3.
4.
No Graph? No Problem!
Lets look at how to determine these limits analytically.
What do we try first?
Step 1: Direct substitution.
So far weve seen two possible
Take it to the limit
Limits show the relation between X and Y. The question that limits answer is,
what is Y doing, as X approaches n. In the show Breaking Bad, Walter White shows
change from being a school teacher, to being a drug lord. This would be the