Lecture

Convergence in Rº: Definitions and Theorems

Description

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.

Official source

https://mediaspace.epfl.ch/media/0_0r80howe

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Ontological neighbourhood

Mathematics

Topology: General topology

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