![Understanding That an Infinite Series of Numbers Converges to a Real Number S (or Has Sum S) If and Only If the Limit of Its Sequence of Partial Sums Exists and Equals Understanding That an Infinite Series of Numbers Converges to a Real Number S (or Has Sum S) If and Only If the Limit of Its Sequence of Partial Sums Exists and Equals](https://study.com/cimages/videopreview/videopreview-full/qb9l8qws22.jpg)
Understanding That an Infinite Series of Numbers Converges to a Real Number S (or Has Sum S) If and Only If the Limit of Its Sequence of Partial Sums Exists and Equals
![Infinite series, The sequence of partial sums, The sum of the series, Convergence of infinite series, Convergent and divergent series examples Infinite series, The sequence of partial sums, The sum of the series, Convergence of infinite series, Convergent and divergent series examples](http://www.nabla.hr/SerEx2A.gif)
Infinite series, The sequence of partial sums, The sum of the series, Convergence of infinite series, Convergent and divergent series examples
![Infinite series, The sequence of partial sums, The sum of the series, Convergence of infinite series, Convergent and divergent series examples Infinite series, The sequence of partial sums, The sum of the series, Convergence of infinite series, Convergent and divergent series examples](http://www.nabla.hr/SerExA.gif)