Math 4200

Sequences

1. Definition of a Sequence

2. Example

3. Bounded Monotone Sequences

4. Definition of e

5. Basic Theorems

Quotient Rule

6. Nested Intervals Theorem

7. Squeeze Theorem

8. Bolzano-Weierstrass Theorem

9. Cauchy Sequences

10. Cauchy Sequences Converge

11. Natural Numbers to Integers to Rationals to Real Numbers

12. Summary