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An asymptotic behavior of $\operatorname{Li}_{-n}(a)$ for $n\to\infty$
Suppose $a,b\in(0,1)$. I'm interested in comparison of an asymptotic behavior of $\operatorname{Li}_{-n}(a)$ and $\operatorname{Li}_{-n}(b)$ for $n\to\infty$.
Such functions exhibit approximately ...