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lim-x-0-ln-x-1-x-1-x-e-

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Question Number 172715 by mathlove last updated on 30/Jun/22
Ω=lim_(x→0) ((ln(x!))/( ((1+x))^(1/x) −e))=?
$$\Omega=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{ln}\left({x}!\right)}{\:\sqrt[{{x}}]{\mathrm{1}+{x}}−{e}}=? \\ $$

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