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This one, by Oleg Golberg, appeared in the 
For all integers 
![\\ \displaystyle \sqrt[n]{1 + \frac{n}{k}} \leq \frac1{n} \log \big( 1+\frac{n}{k-1} \big) + 1.](https://s0.wp.com/latex.php?latex=%5C%5C+%5Cdisplaystyle+%5Csqrt%5Bn%5D%7B1+%2B+%5Cfrac%7Bn%7D%7Bk%7D%7D+%5Cleq+%5Cfrac1%7Bn%7D+%5Clog+%5Cbig%28+1%2B%5Cfrac%7Bn%7D%7Bk-1%7D+%5Cbig%29+%2B+1.+&bg=ffffff&fg=545454&s=0&c=20201002)
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