TOPICS

Alternating Series Test


Also known as the Leibniz criterion. An alternating series converges if a_1>=a_2>=... and

 lim_(k->infty)a_k=0.

See also

Convergence Tests

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References

Zwillinger, D. (Ed.). "Convergence Tests." §1.3.3 in CRC Standard Mathematical Tables and Formulae, 30th ed. Boca Raton, FL: CRC Press, p. 32, 1996.

Referenced on Wolfram|Alpha

Alternating Series Test

Cite this as:

Weisstein, Eric W. "Alternating Series Test." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlternatingSeriesTest.html

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