I have $f(x)=\frac{3}{-2\ln|x|-2\ln|x+3|}$ and have to determine the order of this infinitesimal with respect to $x$ for $x\to0$.Then it doesn't matter if we are approaching from left or right because $-2\ln|x|\to+\infty$ and : $$\lim_{x\to0}\frac{3}{-2\ln|x|x^\alpha}$$ But it doesn't seem like for any $\alpha$ we can have limit approaching a real number.How can order be determined in that case?
2026-03-25 21:36:34.1774474594
Order of $f(x)=\frac{3}{-2\ln|x|-2\ln|x+3|}$ with respect to $x$
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