Sequences, Convergence

This lecture covers the fundamental concepts related to sequences, convergence, and limits. It starts by defining sequences of real numbers and then introduces the concept of convergence towards a limit. The lecture also discusses bounded sequences, monotonic sequences, and provides examples to illustrate these concepts. Additionally, it explores the notion of divergence and the criteria for a sequence to be convergent. The lecture concludes with a discussion on the convergence of specific sequences and the implications of different convergence scenarios.