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lim-x-0-e-x-x-2-x-2-x-3-solve-it-by-not-using-taylor-series-or-l-hopital-rule-




Question Number 201724 by LimPorly last updated on 11/Dec/23
lim_(x→0) ((e^x (x−2)+x+2)/x^3 ) solve it by not using  taylor series or l′hopital rule.
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{e}^{{x}} \left({x}−\mathrm{2}\right)+{x}+\mathrm{2}}{{x}^{\mathrm{3}} }\:{solve}\:{it}\:{by}\:{not}\:{using} \\ $$$${taylor}\:{series}\:{or}\:{l}'{hopital}\:{rule}. \\ $$

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