Lesson 24a - Absolute Conditional Convergence

Lesson 24a - Absolute Conditional Convergence -...

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Absolute Convergence W i i b l t l t h it l k th t th b l t l f We say a series is absolutely convergent when it we look that the absolute values of the terms, and that new series converges: b | | b That is given: , then if the series: converges, then we say that it is absolutely convergent. 1 n n 1 n n Why should we consider the absolute series? That is summed up in the following theorem: Theorem: If a series is absolutely convergent, then the series itself converges. Note: This series talks nothing about divergence, only when the absolute series converges.
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