1. Limits: Evaluation Techniques
2.3

2. Find the Limit -1
Multiply by LCD
Cancel
(4)
Substitute and Solve

3. Example -1
Multiply by LCD
Cancel
(2)
Substitute and Solve

4. Use piecewise definition for absolute value functions
Limit DNE!

5. Use piecewise definition for absolute value functions
Limit DNE!

7. Examples
Cancel
Substitute and Solve 64 16

8. Rewrite as a single fraction using LCD
D.S -> 0/0
Rationalize Numerator -1
Simplify
Cancel
Substitute and solve

9. TRIG
LIMITS

10. =1
Must match exactly!

11. =0
Must match exactly

12. EXAMPLES

13. Since they match…let’s use our theorem
Multiply numerator and denominator by 3
Since they match…let’s use our theorem
Property of Limits

21. Trapped between: This makes a limit sandwich!
By Squeeze Theorem