Definitions:
3.22 (equivalent norms)
3.26 (relatively open set)
4.1 (convergent sequence)
4.30 (limsup and liminf)
5.1 (Cauchy sequence)
5.4 (complete metric space)
Suggested Review Problems/Exercises:
Section 3:
Problem 3.5
Section 4:
Exercises 4.5, 4.7, 4.8, 4.11, 4.13
Problems 4.5, 4.6, 4.7, 4.8, 4.10, 4.12, 4.15
Section 5:
Exercises: 5.2, 5.4
Problems: 5.1