Video:Alternating series theorem

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ORIGINAL FULL PAGE: Alternating series theorem
STUDY THE TOPIC AT MULTIPLE LEVELS:
ALSO CHECK OUT: Page with videos on the topic, both embedded and linked to

Statement

Basic statement

(see video below)

Concrete version assuming first term is positive

{{#widget:YouTube|id=5YerX2ktuD4}}

Concrete version assuming first term is negative

Eventually variation

Significance

Significance for showing convergence

Significance for approximate computation of sums of series

Related facts

Significance of each condition

{{#widget:YouTube|id=2FrM8MsIs4U}}