In chapter 3.1 to 3.3 we cover the definition of a sequence, and some of its properties:
- Convergence & divergence
- Limits
- Tails
- Monotone
We also describe some proofing methods:
Notes
- 3.1 Sequences and Their Limits
- 3.2 Limit Theorems
- 3.3 Monotone Sequences
- 3.4 Subsequences and the Bolzano-Weierstrass Theorem
- 3.5 The Cauchy Criterion
- 3.6 Properly Divergent Sequences
- Various Methods for Proving a Sequence of Real Numbers is Convergent