Question Number 192652 by beto last updated on 24/May/23
$${lim}_{{x}\rightarrow\mathrm{0}} \frac{\mathrm{1}−\sqrt{{cos}\left({x}\right)}}{\mathrm{1}+{cos}\left(\sqrt{{x}}\right)} \\ $$
Answered by MM42 last updated on 24/May/23
$$\mathrm{0} \\ $$
Answered by Skabetix last updated on 24/May/23
$$=\frac{\mathrm{1}−\sqrt{\mathrm{1}}}{\mathrm{1}+\mathrm{1}} \\ $$$$=\frac{\mathrm{1}−\mathrm{1}}{\mathrm{1}+\mathrm{1}} \\ $$$$=\frac{\mathrm{0}}{\mathrm{2}} \\ $$$$=\mathrm{0} \\ $$