1. Unit 12

2. Unit 12: Sequences and Series

3. Vocabulary

4. Arithmetic Sequences

5. Geometric Sequences

6. Unit 12: Sequences and Series

7. Series

8. Sigma Notation

9. Series Shortcuts

11. Unit 12: Sequences and Series

12. Informal Definition of a Limit Let f be a function and c be a real number such that f(x) is defined for all values of x near x=c. Whenever x takes on values closer and closer but not equal to c (on both sides of c), the corresponding values of f(x) get very close to, and possibly equal, to the same real number L and the values of f(x) can be made arbitrarily close to L by taking values of x close enough to c, but not equal to c.

13. Definition of a Limit

14. Examples 3

15. 1

16. ∞

17. When Limits Do Not Exist Does Not Exist

18. When Limits Do Not Exist Does Not Exist

19. When Limits Do Not Exist Does Not Exist

20. Limits at Infinity

21. Examples 6 1

22. 0 0

23. Unit 12: Sequences and Series

24. Convergence of a Sequence

25. Convergence of a Series