# power series

A power series is an infinite series that can be thought
of as a polynomial with an infinite number
of terms, e.g., 1 + *x* + *x*^{2} + *x*^{3} + ... Usually, a given power series will converge, i.e., approach a finite
sum, for all values of *x* less than a certain constant and diverge
for all values greater than that constant.