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.