Ratio Test Calculator
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About Ratio Test Calculator
A free online Ratio Test calculator for series, designed to quickly and accurately determine whether an infinite series converges or diverges.
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Frequently Asked Questions
What is the ratio test?
The Ratio Test (also known as D'Alembert's test) is a method used to determine the convergence or divergence of a series. It involves calculating the limit of the ratio of consecutive terms (or the absolute value of this ratio). By comparing this limit, denoted as ρ, to 1, one can conclude whether the series is absolutely convergent or divergent. If ρ < 1, the series is absolutely convergent; if ρ > 1, the series is divergent; and if ρ = 1, the test is inconclusive.
How do you use the ratio test calculator?
Upload an image or enter the general term of the sequence, then click the "Solve" button to perform the Ratio Test and determine whether the series converges or diverges.
What should you do if the ratio test is inconclusive?
Consider using other convergence tests, such as the Root Test, the Comparison Test, or the Integral Test.
