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:
“And a man of tan engages
For the springtime of her pride,
Eats the green by easy stages,
Nibbles at the root beneath
With intimidating teeth.”
—Gwendolyn Brooks (b. 1917)
“If a test of civilization be sought, none can be so sure as the condition of that half of society over which the other half has power.”
—Harriet Martineau (1802–1876)