Category: Limits

Question Number 130176 by liberty last updated on 23/Jan/21 $$\underset{x\to \mathrm{\infty }}{\lim }\frac{6\mathrm{x}+\sqrt{{8\mathrm{x}}^2-\sqrt{{2\mathrm{x}}^3+\sqrt{{4\mathrm{x}}^5}}}}{\sqrt[6]{{\mathrm{x}}^6-{\mathrm{x}}^3+\sqrt{{4\mathrm{x}}^5}}+\mathrm{x}}=?$$ Answered by EDWIN88 last updated on…

Question Number 130120 by Study last updated on 22/Jan/21 $$li\underset{x\to 2}{m}\sqrt{x-2}=?orlimithas?$$ Answered by Olaf last updated on 22/Jan/21 $$$$$$\underset{{x}\rightarrow\mathrm{2}^{−} } {\mathrm{lim}}\:\sqrt{{x}−\mathrm{2}}\:\mathrm{is}\:\mathrm{undefined}…

Question Number 64539 by mmkkmm000m last updated on 19/Jul/19 $${lim}_{xat0}\left[{cos}^2\left(4x\right)\right]/x^2-{lim}_{xat0}\left[{cos}^3\left(6x\right)\right]/x^2$$ Commented by kaivan.ahmadi last updated on 19/Jul/19 $${lim}_{{x}\rightarrow\mathrm{0}}…

Question Number 129908 by Adel last updated on 20/Jan/21 Answered by mathmax by abdo last updated on 20/Jan/21 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{(1-\sqrt{\mathrm{sinx}})\left(1{-}^3\sqrt{\mathrm{sinx}}\right)\dots .\left(1{-}^{2020}\sqrt{\mathrm{sinx}}\right)}{{(1-\mathrm{sinx})}^{2019}}\mathrm{we}\mathrm{do}\mathrm{the}\mathrm{changement}$$$$\mathrm{x}=\frac{\pi}{\mathrm{2}}+\mathrm{t}\:\:\left(\mathrm{so}\:\mathrm{t}\rightarrow\mathrm{0}^{+} \right)\:\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=\frac{\left(\mathrm{1}−\left(\mathrm{cost}\right)^{\frac{\mathrm{1}}{\mathrm{2}}}…

Question Number 64253 by Jameel Ahmad last updated on 16/Jul/19 Commented by ajfour last updated on 16/Jul/19 $$Nobellaurettes,ithink!$$ Terms of Service Privacy Policy…