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Sep 18, 2020 at 15:11 comment added Rob Arthan Thanks. So Yan was begin rather coy! What I have called (4) says $S_n/T_n \to 0$, which leads to your $(*)$. But Yan was leaving your $(**)$ entirely to the reader.
Sep 18, 2020 at 15:04 vote accept Rob Arthan
Sep 18, 2020 at 13:15 history answered Iosif Pinelis CC BY-SA 4.0