Question Number 192650 by beto last updated on 24/May/23
$$ \\ $$$$\boldsymbol{\mathrm{lim}}_{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{0}} \frac{{x}−{sen}\left({x}\right)}{{tan}^{\mathrm{3}} \left({x}\right)} \\ $$$${without}\:{lhopital}\:{rule} \\ $$
Answered by MM42 last updated on 24/May/23
$$\frac{\mathrm{1}}{\mathrm{6}} \\ $$
Answered by SajaRashki last updated on 24/May/23
$${lim}_{{x}\rightarrow\mathrm{0}^{+} } =\frac{−\mathrm{1}}{\mathrm{0}^{+} }=−\infty \\ $$$${lim}_{{x}\rightarrow\mathrm{0}^{−} } =\frac{−\mathrm{1}}{\mathrm{0}^{−} }=+\infty \\ $$