TOPICS
Search

Convergence Tests


A test to determine if a given series converges or diverges.


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 Test

Explore 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 Tests

Cite this as:

Weisstein, Eric W. "Convergence Tests." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ConvergenceTests.html

Subject classifications