1. Warm-up Enter the two functions into the y = in your5
Enter the two functions into the y = in your
graphing calculator

2. Warm up Warm up 1. 2. 3. 4. 5. 6. Do in notebook
Decide whether the problem can be solve with or without calculus. Explain your reasoning. 1. 2. 3. 4.
Warm up 1. 2. 3. 4. 5. 6.
Do in notebook

3. Be seated before the bell rings
DESK
Agenda : warm-up
Go over homework homework quiz Notes lesson 1.2
Warm-up (in your notes)
homework

4. Notebook 2) 1-2 Finding limits graphically and numerically
Learning Target 1
Table of content
Page
1-1 A Preview of Calculus 1
2) 1-2 Finding limits graphically and numerically
Section
HW Assignment
Completed?
Quiz Score
1.1
 p.47: 4-6, 9
1.2
p. 55
1-27 odd, all, all

5. 1-2 Finding limits graphically and numerically
Example 1 :
Limit : What does the function do as we approaches a value
What’s the y-value as x approaches 1? 1 X 1 Y
Read: “ The limit as x approaches 1 is 3”

6. In general : The limit as x approaches c is L
The limit as x approaches c is L
The limit as x approaches from the right of c is L
The limit as x approaches from the left of c is L

7. Example 2 : X
0.75
0.9
0.99
0.999 1
1.001
1.01
1.1
1.25 Y
The limit does not exist (DNE) because the left hand limit does not equal the right hand limit
Graphically Confirm :

8. Example 3 : X
1.75
1.9
1.99
1.999 2
2.001
2.01
2.1
2.25 Y
The limit does not exist (DNE) because of the unbounded behavior
Graphically Confirm :

9. Example 3 : X Y
The limit does not exist (DNE) because of the Oscillating Behavior
Graphically Confirm :

10. Some graphs to think about ??? Does the limit exist. If not explain.

11. Some graphs to think about ???
Does the limit exist. If not explain.

12. Left and right hand limits

15. Summary The limit exist when…..
3 ways a limit may fails to exist at x = c when…..

16. Summary