root test

American  

noun

Mathematics.

1. the theorem that a given infinite series converges if the n th root of the absolute value of the n th term approaches a limit less than 1 as n increases without bound.

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Example Sentences

Since each term is a power of n, we can apply the root test.

From Textbooks • Mar. 30, 2016

There is a power, but it is not an ideal situation for the root test.

From Textbooks • Mar. 30, 2016

The root test is useful for series whose terms involve powers.

From Textbooks • Mar. 30, 2016

In this section, we prove the last two series convergence tests: the ratio test and the root test.

From Textbooks • Mar. 30, 2016

The root test is useful for series whose terms involve exponentials.

From Textbooks • Mar. 30, 2016