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Results tagged with diophantine-approximation
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user 5513
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When is $n/\ln(n)$ close to an integer?
If $f(x)=\frac{x}{\log x}$, then $f'(x)=\frac{1}{\log x} - \frac{1}{(\log x)^2}$, which tends to zero as $x\rightarrow \infty$. Choose some large real number $x$ for which $f(x)$ is integral. Then the …
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