Absolute Convergence
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We say a series is absolutely convergent when it we look that the absolute values of
the terms, and that new series converges:
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b
That is given:
, then if the series:
converges, then we say that it
is absolutely convergent.
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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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