Category: Limits

Question Number 107372 by bobhans last updated on 10/Aug/20 $$⋗\mathcal{B}\mathbf{obhans}⋖$$$$\underset{x\to \mathrm{\infty }}{\lim }\mathrm{x}\sqrt{\frac{2\mathrm{x}-\cos 5\mathrm{x}}{{3\mathrm{x}}^3}}?$$ Answered by john santu last updated on 10/Aug/20 $$\:\:\:\:\:\:\:\:\divideontimes\mathcal{JS}\divideontimes…

Question Number 107310 by bemath last updated on 10/Aug/20 Answered by bobhans last updated on 10/Aug/20 $$⋎\mathbf{bobhans}⋎$$$$\mathrm{L}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\left(\mathrm{x}^{\mathrm{2}} \right)−\mathrm{1}+\frac{\mathrm{x}^{\mathrm{4}} }{\mathrm{2}}}{\mathrm{x}^{\mathrm{2}} \left(\mathrm{x}−\mathrm{sin}\:\mathrm{x}\right)^{\mathrm{2}} }\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{cos}\:\left(\mathrm{x}^{\mathrm{2}}…

Question Number 41761 by math khazana by abdo last updated on 12/Aug/18 $$calculate{lim}_{x\to 0}xln(1-e^{sinx})$$ Answered by alex041103 last updated on 12/Aug/18 $${As}\:{x}\rightarrow\mathrm{0}\:{the}\:{expression}\:{becomes}\:{one}…

Question Number 107222 by bobhans last updated on 09/Aug/20 Answered by john santu last updated on 09/Aug/20 $$⊡\mathrm{JS}⊡$$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{7}^{\mathrm{2x}} \left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{7}^{\mathrm{x}} }\right)\right)^{\frac{\mathrm{2}}{\mathrm{x}}} =\:\mathrm{7}^{\mathrm{4}} \:×\underset{{x}\rightarrow\infty}…

Question Number 172715 by mathlove last updated on 30/Jun/22 $$\mathrm{\Omega }=\underset{x\to 0}{\lim }\frac{ln(x!)}{\sqrt[x]{1+x}-e}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com