Alternating Series Test

Also known as the Leibniz criterion. An alternating series converges if and

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sumconvergence((-1)^k/k, k)
sumconvergence((-1)^k/k^2, k)
ssumconvergence((-1)^k/ln(k), k)

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.

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Alternating Series Test

Cite this as:

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

Alternating Series Test

See also

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References

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