Question Number 157688 by tounghoungko last updated on 26/Oct/21
$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{1}}{\mathrm{ln}\:\left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\right)}\:−\frac{\mathrm{1}}{\mathrm{ln}\:\left({x}+\mathrm{1}\right)}\:\right)=? \\ $$