Convergence and Divergence: Sequences and Limits

This lecture covers the concepts of convergence and divergence in sequences and limits, illustrating through examples the conditions under which a sequence converges or diverges. The instructor explains the properties of convergent and divergent sequences, emphasizing the uniqueness of limits and the implications of divergent sequences. Various proofs and exercises are presented to demonstrate the convergence or divergence of sequences, highlighting the importance of understanding the behavior of sequences towards infinity.