Question Number 130541 by EDWIN88 last updated on 26/Jan/21
$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{e}^{−{x}^{\mathrm{2}} /\mathrm{2}} −\mathrm{cos}\:{x}}{{x}^{\mathrm{3}} \:\mathrm{tan}\:{x}}\:=? \\ $$
Answered by Dwaipayan Shikari last updated on 26/Jan/21
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}+\frac{{x}^{\mathrm{4}} }{\mathrm{8}}−\mathrm{1}+\frac{{x}^{\mathrm{2}} }{\mathrm{2}}−\frac{{x}^{\mathrm{4}} }{\mathrm{24}}}{{x}^{\mathrm{4}} }=\frac{\mathrm{1}}{\mathrm{12}} \\ $$
Commented by EDWIN88 last updated on 26/Jan/21
$$\checkmark \\ $$
Answered by EDWIN88 last updated on 26/Jan/21
