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# Convergence of an infinite series resources

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### 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.

### 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.

### Video with captions which require edits (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.