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6:44 AM
Looking for second opinions about this. I engaged with the asker, with a view of getting them to eventually answer themself, and my comments seem to have helped them. A moderator later kindly reminded me of the principle of posting. I'm on a fence about this. It is, in some sense, my duty to compile the comments into an answer. At the time I felt like the question was lacking focus, often happens when the asker is confused about a concept.
(cont'd) The edits did improve the question a bit. But, as is often the case, each and every one of the multiple confusions have probably been covered already. Not in a single post though, which is a common enough problem with questions like this.
 
 
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8:55 AM
@JyrkiLahtonen I think that the question deserves an answer, in spite of the fact that much of it is due confusions concerning a concept.
 
9:26 AM
 
9:45 AM
DV/Del dupe of FAQ, further lacking context for SV, and double very-high-rep cherry picking
 
10:35 AM
Shall this be closed ? If yes , for which reason ?
 
D1, D2, D3.
D4, D5, D6.
D7, D8, D9.
C1, C2, C3.
C4, C5, C6.
C7, C8, C9.
@Peter I think... opinion-based. I cannot think of any mathematical reason for the preference. To retain the iteration I would use exp(−exp(−exp(−1))) ≈ 1/2, and this is none of the already numerous options...
 
 
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3 hours later…
3:51 PM
This posting has several duplicates. For example, here the relevant order properties of the $\limsup_n$ are laid out
 
 
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