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Convergence Tests

A test to determine if a given Series Converges or Diverges.

See also Abel's Uniform Convergence Test, Bertrand's Test, d'Alembert Ratio Test, Divergence Tests, Ermakoff's Test, Gauss's Test, Integral Test, Kummer's Test, Raabe's Test, Ratio Test, Riemann Series Theorem, Root Test


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.

© 1996-9 Eric W. Weisstein