A test to determine if a given series converges or diverges.
Convergence Tests
See also
Abel's Uniform Convergence Test, Bertrand's Test, Dirichlet's Test, Divergence Tests, Ermakoff's Test, Gauss's Test, Integral Test, Kummer's Test, Limit Comparison Test, Limit Test, Raabe's Test, Radius of Convergence, Ratio Test, Riemann Series Theorem, Root TestExplore with Wolfram|Alpha
References
Arfken, G. "Convergence Tests." §5.2 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 280-293, 1985.Bromwich, T. J. I'A. and MacRobert, T. M. An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, pp. 55-57, 1991.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
Convergence TestsCite this as:
Weisstein, Eric W. "Convergence Tests." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConvergenceTests.html