Real Sequences: Limits and Properties

This lecture covers the definition and elementary properties of real sequences, including the concept of limit. It explains how to identify and work with real sequences, providing examples such as harmonic and alternating harmonic sequences. The lecture also delves into the notion of convergence and divergence of sequences, illustrating how to determine if a sequence converges or diverges. Additionally, it explores the operations on limits, showcasing how to calculate the limit of a sequence and the properties that govern these operations.