Lecture

Convergence of Series: Definitions and Examples

Description

This lecture covers the definition and examples of numerical series, including the convergence of bounded sequences, the concept of lim inf and lim sup, series with general terms, the geometric series, and the paradox of Achilles and the tortoise by Zeno. It explores the impossibility for Achilles to catch the tortoise due to an infinite number of intervals, demonstrating the convergence and divergence of geometric series.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_kppgmyv3

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Ontological neighbourhood

Mathematics

Topology: General topology

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