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3:08 AM
I think that this question might be useful despite being closed as a duplicate: Three definitions of the limit superior from famous textbooks are equivalent. So maybe there was not need for it to be deleted.
If not for other reason, the comments might serve as a place where links to various other posts dealing with definitions of limsup could be collected.
Duplicates can be useful.
I have pinged author of that question, so maybe they will see the message above:
Since you wrote that you plan to read Rudin and also your posts on the main show that you are interested in calculus and analysis, I wanted to let you know about existence of Calculus and analysis room in chat. Admittedly, it was rather inactive so far. But the more people know about it, the bigger chance that this can change. — Martin Sleziak 1 min ago
 

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