# Definitions for root testroot test

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1. Root test

In mathematics, the root test is a criterion for the convergence (a convergence test) of an infinite series. It depends on the quantity lim sup n → ∞ | a n | n , {\displaystyle \limsup _{n\rightarrow \infty }{\sqrt[{n}]{|a_{n}|}},} where a n {\displaystyle a_{n}} are the terms of the series, and states that the series converges absolutely if this quantity is less than one, but diverges if it is greater than one. It is particularly useful in connection with power series.

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1. Root test

In mathematics, the root test is a criterion for the convergence of an infinite series. It depends on the quantity where are the terms of the series, and states that the series converges absolutely if this quantity is less than one but diverges if it is greater than one. It is particularly useful in connection with power series.

### Numerology

1. Chaldean Numerology

The numerical value of root test in Chaldean Numerology is: 9

2. Pythagorean Numerology

The numerical value of root test in Pythagorean Numerology is: 6

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"root test." Definitions.net. STANDS4 LLC, 2024. Web. 3 Aug. 2024. <https://www.definitions.net/definition/root+test>.

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