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The Ratio Test for convergence of a series can be thought of as a measurement of how fast the series is increasing or decreasing. This can be found by looking at the ratio
as
.
Given the series
, suppose that

Then

- the series converges if ,
- the series diverges if ,
- the test is inconclusive if .

*Dina J. Solitro-Rassias *

2017-11-09