# 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/

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Published: March 7 2011