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Published September 1984 | public
Journal Article

A Differentiation Test for Absolute Convergence


In this note, we describe a new test which provides a necessary and sufficient condition for absolute convergence of infinite series. The test is based solely on differentiation and is very easy to apply. It also provides a pictorial illustration for absolute convergence and divergence.

Additional Information

© 1984 Mathematical Association of America. I should like to acknowledge Dr. Brent Smith and one of the referees for their assistance.

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August 19, 2023
October 20, 2023