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Jan 14, 2019 at 12:53 vote accept random_person
Jan 14, 2019 at 12:40 history edited random_person CC BY-SA 4.0
Follow-up question updated.
Jan 14, 2019 at 12:26 answer added Iosif Pinelis timeline score: 7
Jan 14, 2019 at 12:18 history edited random_person CC BY-SA 4.0
A new follow-up question is included
Jan 14, 2019 at 9:00 answer added Raziel timeline score: 11
Jan 14, 2019 at 8:54 comment added Mateusz Kwaśnicki This belongs to Karamata's Tauberian theory, it is a kind of monotone density theorem for de Hahn classes, I believe. I'll look into Bingham-Goldie-Teugels book later today and write more.
Jan 14, 2019 at 8:46 comment added random_person @Venkataramana I could be wrong, but aren't you suggesting the converse of L'Hospital's rule (if the ratio of two functions has a limit, then the ratio of the derivatives has the same limit), which does not seem to be true in general? I have no control over $o(\log t)$ and just can't say much about its derivative, and I am not sure how L'Hospital may be applied.
Jan 14, 2019 at 8:35 comment added Venkataramana Am I missing something? Is this not l'Hospital's rule?
Jan 14, 2019 at 8:09 history asked random_person CC BY-SA 4.0