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Leibniz Criterion

Also known as the alternating series test. Given a series

sum_(n=1)^infty(-1)^(n+1)a_n

with a_n>0, if a_n is monotonic decreasing as n->infty and

lim_(n->infty)a_n=0,

then the series converges.

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Cite this as:

Weisstein, Eric W. "Leibniz Criterion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LeibnizCriterion.html

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