Question Number 162510 by cortano last updated on 30/Dec/21
$$\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{7tan}\:{x}−\mathrm{tan}\:\mathrm{7}{x}}{\mathrm{3}{x}}\:=? \\ $$
Answered by Lordose last updated on 30/Dec/21
$$\mathrm{L}−\mathrm{Hopital}'\mathrm{s};\:\frac{\mathrm{7sec}^{\mathrm{2}} \left(\mathrm{x}\right)−\mathrm{7sec}^{\mathrm{2}} \left(\mathrm{7x}\right)}{\mathrm{3}}\:=\:\frac{\mathrm{0}}{\mathrm{3}}\:=\:\mathrm{0} \\ $$