5 Views· 08 August 2023· Education
Alternating Series Test
This calculus 2 video tutorial provides a basic introduction into the alternating series test and how to use it to determine the convergence and divergence of a series. You need to show that the sequence goes to zero as n goes to infinity and you need to establish that the sequence is decreasing toward infinity.
Here is a list of topics:
1. Introduction to the alternating series test
2. Alternating harmonic series
3. Using the divergence test with the alternating series test
4. Establishing a decreasing sequence using the first derivative test with the quotient rule for derivatives
5. Examples with factorials
6. Using l'hopital's rule to simplify limits
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https://www.youtube.com/watch?v=1xATmTI-YY8&t=25s&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=1
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