Staff

Please select a resource from the list below.

Teach Yourself

• 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

• Diagnostic Test - Convergence of an infinite series
• Exercise - Convergence of an infinite series

Video

A transcript of each video should be available in the Teach Yourself section above.

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• 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)