Lecture

Convergent Sequences: Definitions and Illustrations

In course

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Description

This lecture covers the definition of convergent sequences, with illustrations in R², and the concept of bounded sequences in IR. It also explains the definition of subsequences and the Bolzano-Weierstrass theorem. The instructor demonstrates how to identify bounded sequences and sub-sequences, and how to prove convergence in R². The lecture concludes with a discussion on the properties of compact sets and the uniqueness of limits. Various examples and proofs are provided to enhance understanding.

Instructors (3)

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Official source

https://mediaspace.epfl.ch/media/0_17dil8so

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Ontological neighbourhood

Mathematics

Topology: General topology

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