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Leibniz Criterion for Alternating Series
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
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RELATED LINKS
Alternating Series Test
(
Wolfram
MathWorld
)
Leibniz Criterion
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Leibniz Criterion for Alternating Series
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LeibnizCriterionForAlternatingSeries/
Contributed by:
Izidor Hafner
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