Question Number 197549 by dragan91 last updated on 21/Sep/23
$$ \\ $$$${solve}\:{limits}\:{for}\:{functions} \\ $$$${f}\left({x}\right)={cos}\left({sgn}\left(\mathrm{1}/{x}\right)\right) \\ $$$${f}\left({x}\right)={sgn}\left({cos}\left(\mathrm{1}/{x}\right)\right) \\ $$$$ \\ $$$${Can}\:{someone}\:{help} \\ $$$${Thanks} \\ $$
Commented by MM42 last updated on 21/Sep/23
$${lim}_{{x}\rightarrow?} \\ $$
Commented by dragan91 last updated on 23/Sep/23
$${x}\:{aproaches}\:\:{to}\:{infinity}\: \\ $$$$ \\ $$
Commented by MM42 last updated on 26/Sep/23
$${lim}_{{x}\rightarrow\infty} {cos}\left({sgn}\left(\frac{\mathrm{1}}{{x}}\right)\right)\:={cos}\mathrm{1} \\ $$$${lim}_{{x}\rightarrow\infty} {sgn}\left({cos}\left(\frac{\mathrm{1}}{{x}}\right)\right)=\mathrm{1} \\ $$