Question Number 63917 by raj last updated on 11/Jul/19
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}−\sqrt{{x}}\right) \\ $$
Commented by kaivan.ahmadi last updated on 11/Jul/19
$$×\frac{\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}+\sqrt{{x}}}{\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}+\sqrt{{x}}}}={lim}_{{x}\rightarrow\infty} \frac{\sqrt{{x}+\sqrt{{x}}}}{\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}=\mathrm{1} \\ $$$$ \\ $$
Commented by raj last updated on 11/Jul/19
$${thank}\:{you} \\ $$