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According to the tag-info, is intended for convergence/divergence of sequences and series. Here is the revision history for the tag-excerpt and the tag-wiki.

However, in practice the tag is used also in connection with improper integrals. You can find plenty of posts tagged convergence-divergence+improper-integrals (past questions, deleted questions ) or convergence-divergence+integration (past questions deleted questions).

It could be useful to decide whether or not integrals belong under the tag. And, depending on the outcome of the discussion, either update the tag-info or retag some older posts which do not belong here.

Question: Does divergence and convergence of improper integrals belong under the tag?


As a side note, I will also mention that the tag still needs some clean-up, since it was used in many questions concerning convergence and divergence of series and of integrals. Many questions which have this tag alongside convergence-divergence, sequences-and-series, integration or improper-integrals are likely in the need of retagging. For those questions that are related to integrals, it might be useful to know first whether belongs to those questions, too. (This tag was originally called just . It was renamed in December 2019, the new name is less likely to be used incorrectly.)

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  • $\begingroup$ I will mention that I am aware of the tag management thread. I opted for a separate post, since my expectation is that this might required a longer discussion (and comments under an answer in the tag management thread would not provide sufficient space). $\endgroup$ – Martin Sleziak Apr 25 at 9:21
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In my opinion, yes. Because there are related approaches (the comparison test) to convergence of integrals and convergence of series, besides the existence of the integral test for series.

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    $\begingroup$ It seems unlikely that there will be more feedback on this. I have edited the tag-info a bit - of course, further improvements of the tag-info are more than welcome. $\endgroup$ – Martin Sleziak May 7 at 12:13

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