Limit Superior and Inferior: Convergence and Boundedness

Description

This lecture covers the concepts of limit superior and limit inferior for bounded sequences, showing how these values provide useful information about the behavior of the sequence at infinity. It also explains how to associate two numbers, called limit superior and limit inferior, to any bounded sequence, and how these numbers are equal if and only if the sequence converges.

Official source

https://mediaspace.epfl.ch/media/0_uw3x7o10

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