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Absolutely Convergent

Definition

When a series ∑a_n is absolutely convergent, it means that the sum of the absolute values of its terms, ∑|a_n|, converges. In other words, the positive version of the series converges.

Related terms

Conditional Convergence: A series that converges but not absolutely.

Divergence: A series that does not converge.

Alternating Series Test: A test used to determine if an alternating series converges or diverges based on certain conditions.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.