Ross Ch. 2 — Sequences

Reading: Ross Ch. 2 (§7 Limits of Sequences, §8 A Discussion about Proofs, §9 Limit Theorems for Sequences, §10 Monotone and Cauchy Sequences, §11 Subsequences, §12 \(\limsup\)’s and \(\liminf\)’s, §13 Topological Concepts in Metric Spaces, §14 Series, §15 Alternating Series and Integral Tests).

Covers convergence of sequences, the formal \(\varepsilon\)–\(N\) definition of a limit, the limit theorems, and the techniques for writing rigorous convergence proofs.

Exercises

→ Exercises §8