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The tag is used for questions about limits and continuity which use the $\varepsilon$-$\delta$ definition of such concepts. However, it is sometimes also used for a slightly different subject, namely the $\varepsilon$-$N$ definition of limit of a sequence, as it happened with this question. In my opinion, this is a reasonable option and I propose that the information concerning that tag asserts that it can be used for that purpose. I would like to know what the other members of this community think about that.

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  • $\begingroup$ My impression is that the tag is often used in this way, for example, you can have a look at the questions tagged epsilon-delta+sequences-and-series. $\endgroup$ – Martin Sleziak Apr 19 at 12:11
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    $\begingroup$ Sounds fine, go ahead and edit it into the tag if you like. $\endgroup$ – Alexander Gruber Apr 19 at 17:21
  • $\begingroup$ @AlexanderGruber It's done now. Thank you. $\endgroup$ – José Carlos Santos Apr 19 at 17:35
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    $\begingroup$ I had a teacher who used the term "epsilonics" to cover all such situations. Sadly I don't think it is well enough known for us to use it as a tag in place of "$\epsilon$ - $\delta$", but I wish it were. $\endgroup$ – JonathanZ supports MonicaC Apr 21 at 3:04
  • $\begingroup$ @JonathanZsupportsMonicaC I fully agree that it would be a great name for the tag if it was more well-known. $\endgroup$ – José Carlos Santos Apr 21 at 6:24
  • $\begingroup$ How about "limit-definition"? Obviously we would have to keep epsilon-delta as a synonym. $\endgroup$ – user771918 Apr 24 at 9:23
  • $\begingroup$ @user771918 That's a nice suggestion. I suggest that you post it here. $\endgroup$ – José Carlos Santos Apr 24 at 9:27
  • $\begingroup$ @JoséCarlosSantos Thanks, but I haven't signed up, and can't post in meta. Maybe you could do it? $\endgroup$ – user771918 Apr 24 at 9:33
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I hope I’m doing this correctly; I don’t respond on Meta very often other than voting.

I think this is a great extension of the tag. I also would like to say that if the description of the tag has been edited to encompass “limits . . . of sequences,” then the tag itself should reflect this. I propose it be changed to epsilon-delta/epsilon-N or something similar. This would also encourage people to use the tag for sequences more. For example, I just asked a question to which this new tag is highly relevant.

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