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May 13, 2023 at 15:15 history edited T. Amdeberhan CC BY-SA 4.0
added 9 characters in body
Apr 7, 2019 at 4:01 vote accept T. Amdeberhan
Jan 5, 2017 at 15:58 comment added Jan-Christoph Schlage-Puchta I noticed that when computing the maximum in the second to last line I left out the factor $e$, which lead to the value 1.33, which is too small. The new value should be correct ,and is still small enough. Note that the upper bound $e^{(1-c)n}$ for some $c>0$ follows from the bound $r^k/k!\leq e^r$ again.
Jan 5, 2017 at 15:51 history edited Jan-Christoph Schlage-Puchta CC BY-SA 3.0
Corrected an error in the calculation
Jan 4, 2017 at 17:40 history answered Jan-Christoph Schlage-Puchta CC BY-SA 3.0