# Convergent and Divergent Infinite Series

With the use of limits, it is possible to determine the finite sum of infinitely many terms.

This section primarily focuses on determining whether a series converges or diverges.

Understanding partial sums in regards to terms of a series is paramount.

An infinite series of number converges to a real number, if and only if the limits of its sequence of partial sums exists and equals that same real number.

## Essential Questions

Essential Questions

### How can limits be used to define convergent and divergent series?

How can limits be used to define convergent and divergent series?