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
The videos here are part of (though not the entirety of) the playlist:
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}}