I try (without success) to figure out what could be the following limit if any...
For real $s$ strictly $> 1$ and $x \rightarrow +\infty$ (x real) the limit of the polylogarithm ratio $\frac{Li_{s-1}(x)}{Li_{s}(x)}$
Thanks for your help.
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$\begingroup$ this follows from the asymptotic expansion given in en.wikipedia.org/wiki/Polylogarithm#Asymptotic_expansions $\endgroup$– Carlo BeenakkerCommented Jun 9, 2019 at 12:50
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$\begingroup$ Thanks a lot Carlo. That helps me. $\endgroup$– Gianfranco OLDANICommented Jun 9, 2019 at 15:39
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