1. 1.5
The Limit of a Function

3. Finding Limits using Graphs:

7. Finding Limits using Tables:

8. One-Sided Limits

9. One-Sided Limits:

10. Example

13. The limit exists if and only if “left” limit = “right” limit

14. Example where limit does not exist: “Jump” behavior
As x → 2: Left limit? Right limit?

15. Example where limit does not exist: undefined behavior near 0

16. (When x approaches a number, f(x) approaches infinity)
Infinite Limits
(When x approaches a number, f(x) approaches infinity)

24. (x approaches infinity, f(x) approaches a finite limit L, or infinity)
Limits at Infinity
(x approaches infinity, f(x) approaches a finite limit L, or infinity)

31. Examples:

34. Examples: