Convergence and Divergence - Introduction to Series - Membership Video
This calculus 2 video tutorial provides a basic introduction into series. It explains how to determine the convergence and divergence of a series. It explains the difference between a sequence and a series. This video includes examples and practice problems with geometric series, harmonic series, and the telescoping series. It also discusses the divergence test.
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Here is a list of topics:
1. Introduction to series - Convergence and Divergence of series
2. Sequences vs series
3. How to tell if a series will converge or diverge
4. How to write the general formula for the partial sums of a sequence
5. How to evaluate the sum of a series using limits
6. Convergence and divergence of a geometric series
6. Geometric Series Test
7. Partial sums formula for a geometric series
8. Infinite sum formula for a geometric series
9. How to find the common ratio of a geometric series to determine convergence and divergence
10. sigma notation and summation notation
11. Introduction to the telescoping series
12. Divergence of the harmonic series
13. Introduction to the divergence test
14. How to express a sum using sigma notation
15. Convergence and Divergence of Infinite Series
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