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lim-x-1-3-x-7-x-3-1-3-4-x-1-2-




Question Number 167615 by cortano1 last updated on 20/Mar/22
   lim_(x→1)  (((√(3+x)) ((7+x^3 ))^(1/3) −4)/((x−1)^2 )) =?
$$\:\:\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\sqrt{\mathrm{3}+\mathrm{x}}\:\sqrt[{\mathrm{3}}]{\mathrm{7}+\mathrm{x}^{\mathrm{3}} }−\mathrm{4}}{\left(\mathrm{x}−\mathrm{1}\right)^{\mathrm{2}} }\:=? \\ $$$$ \\ $$

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