Lecture

Equivalence Criterion: Proof and Examples

Description

This lecture covers the equivalence criterion for series convergence, where two strictly positive sequences an and bn are compared. The proof involves showing the existence of a limit L > 0. From this, the comparison criterion is derived, stating that the convergence of Σ ak is equivalent to the convergence of Σ bk. Examples are provided to illustrate the application of the criterion.

Official source

https://mediaspace.epfl.ch/media/0_pemxybs0

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Ontological neighbourhood

Mathematics

Topology: General topology

Analysis: Calculus

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