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:
“Under an oak, whose antique root peeps out
Upon the brook that brawls along this wood.”
—William Shakespeare (15641616)
“Our decision about energy will test the character of the American people and the ability of the President and the Congress to govern this nation. This difficult effort will be the moral equivalent of war, except that we will be uniting our efforts to build and not to destroy.”
—Jimmy Carter (James Earl Carter, Jr.)