Question Number 106101 by O Predador last updated on 02/Aug/20
Answered by Dwaipayan Shikari last updated on 02/Aug/20
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{\sqrt{\mathrm{2}+\frac{\mathrm{1}}{{x}}}−\frac{\mathrm{3}}{\:\sqrt{{x}}}}{\:\sqrt{\mathrm{1}−\frac{\mathrm{2}}{{x}}}−\frac{\sqrt{\mathrm{2}}}{\:\sqrt{{x}}}}=\frac{\sqrt{\mathrm{2}}}{\:\sqrt{\mathrm{1}}}=\sqrt{\mathrm{2}} \\ $$
Commented by O Predador last updated on 02/Aug/20
$$\:\boldsymbol{\mathrm{Thank}}\:\:\boldsymbol{\mathrm{you}}! \\ $$