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Alternating Series - Error Bound

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Series

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Section 3, Page 3 to page 4

Definition, using the sequence of partial sums and the sequence of partial absolute sums. Absolutely convergent and conditionally convergent series are defined, with examples of the harmonic and alternating harmonic series.

Course: 18.01 Single Variable Calculus, Fall 2005
Instructor: Prof. Jason Starr
Prior Knowledge: Sequences (section 1 of this lecture)
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Online Textbook Chapter

Conditions for Convergence of an Alternating Sequence

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Definition of an alternating sequence, and the necessary and sufficient conditions for such a sequence to converge.

Course: 18.013A Calculus with Applications, Spring 2005
Instructor: Prof. Daniel J. Kleitman
Prior Knowledge: Infinite Series (OT30.1)
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