Category:Comparison Test

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Let $\ds \sum_{n \mathop = 1}^\infty b_n$ be a convergent series of positive real numbers.

Let $\sequence {a_n}$ be a sequence $\R$ or sequence in $\C$.

Let $\forall n \in \N_{>0}: \cmod {a_n} \le b_n$.

Then the series $\ds \sum_{n \mathop = 1}^\infty a_n$ converges absolutely.