# Convergence of an infinite series resources

### Teach Yourself (1)

The sum of an infinite series

In this unit we see how finite and infinite series are obtained from finite and
infinite sequences. We explain how the partial sums of an infinite series form
a new sequence, and that the limit of this new sequence (if it exists) defines
the sum of the series. We also consider two specific examples of infinite
series that sum to e and pi respectively.

### Test Yourself (2)

Diagnostic Test - Convergence of an infinite series

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Exercise - Convergence of an infinite series

This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

### Video (1)

The sum of an infinite series

In this unit we see how finite and infinite series are obtained from finite and infinite sequences. We explain how the partial sums of an infinite series form
a new sequence, and that the limit of this new sequence (if it exists) defines
the sum of the series. We also consider two specific examples of infinite
series that sum to e and pi respectively. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.