Also known as the Leibniz criterion. An alternating series converges if and
Alternating Series Test
See also
Convergence TestsExplore with Wolfram|Alpha
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 TestCite this as:
Weisstein, Eric W. "Alternating Series Test." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AlternatingSeriesTest.html