Convergence in Rº: Definitions and Theorems

This lecture covers the concept of convergence in Rº, defining a convergent sequence as one that approaches a limit point in Rº. It also introduces the notion of Cauchy sequences and explores the relationship between convergence and Cauchy sequences. The lecture concludes with the application of the Bolzano-Weierstrass theorem to show the existence of convergent subsequences in bounded sequences in Rº.