Leibniz Criterion for Alternating Series
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An alternating series converges if
and
. Even partial sums
form an increasing sequence and odd partial sums
form a decreasing sequence; their limit is the same.
Contributed by: Izidor Hafner (March 2011)
Open content licensed under CC BY-NC-SA
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"Leibniz Criterion for Alternating Series"
http://demonstrations.wolfram.com/LeibnizCriterionForAlternatingSeries/
Wolfram Demonstrations Project
Published: March 7 2011