Power Series

In mathematics, infinite series that can be thought of as a polynomial with an infinite number of terms, such as 1 + x + x2 + x3 + . . . ad infinitum. Usually, a given power series will converge (that is, approach a finite sum) for all values of x less than a certain constant and diverge for all values greater than that constant (See also convergence). This constant can be determined by the ratio