Cauchy ratio test
Cauchy ratio test[kō·shē ′rā·shō ‚test]
A series of nonnegative terms converges if the limit, as n approaches infinity, of the ratio of the (n + 1)st to n th term is smaller than 1, and diverges if it is greater than 1; the test fails if this limit is 1. Also known as ratio test.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.