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lim-x-0-1-ln-x-x-2-1-1-ln-x-1-




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

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