Question Number 76192 by abdomathmax last updated on 25/Dec/19
$${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{{arctan}\left({sin}\left(\mathrm{2}{x}\right)\right)−{sin}\left({arctan}\left(\mathrm{2}{x}\right)\right)}{{x}^{\mathrm{2}} } \\ $$
Answered by benjo last updated on 25/Dec/19
Commented by benjo last updated on 25/Dec/19
$$\mathrm{and}\:\mathrm{used}\:\mathrm{L}'\mathrm{Hopital}\:\mathrm{rule}\:\mathrm{we}\:\mathrm{get}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{limit}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{zero} \\ $$