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

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.

Read more about Root Test:  The Test, Application To Power Series, Proof

Famous quotes containing the words root and/or test:

    Propaganda has a bad name, but its root meaning is simply to disseminate through a medium, and all writing therefore is propaganda for something. It’s a seeding of the self in the consciousness of others.
    Elizabeth Drew (1887–1965)

    We do not quite say that the new is more valuable because it fits in; but its fitting in is a test of its value—a test, it is true, which can only be slowly and cautiously applied, for we are none of us infallible judges of conformity.
    —T.S. (Thomas Stearns)