What is Ratio test: Definition and 101 Discussions

In mathematics, the ratio test is a test (or "criterion") for the convergence of a series





∑

n
=
1


∞



a

n


,


{\displaystyle \sum _{n=1}^{\infty }a_{n},}
where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d'Alembert and is sometimes known as d'Alembert's ratio test or as the Cauchy ratio test.

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