Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Is it possible to make an absolutely convergent series from two conditional convergent series? Just to be more clear, if we have an absolutely convergent series, we can rearrange the terms and possible separate the terms to make two separate new series. Would it be possible for one or both of those series to be conditionally convergent?

share|improve this question

1 Answer 1

up vote 1 down vote accepted

You can't. A series converges absolutely, iff it's absolute-values make a [non-negative] convergent series. But a non-negative series can't converge if it has a non-converging sub-sequence.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.