Category: Limits

Question Number 167280 by puissant last updated on 11/Mar/22 Commented by puissant last updated on 11/Mar/22 $$Area=???$$ Answered by som(math1967) last updated on…

Question Number 167160 by qaz last updated on 08/Mar/22 $$\mathrm{calculate}::\underset{\mathrm{n}\to \mathrm{\infty }}{\lim ncos}\left({\int }_0^1\frac{\sin \left(2\pi \mathrm{nx}\right)}{\mathrm{x}}\mathrm{dx}\right)=\frac{1}{2\pi }$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 101610 by bramlex last updated on 03/Jul/20 Answered by john santu last updated on 04/Jul/20 $${\mathrm{L}}^{\prime }\mathrm{Hopital}$$$$\Leftrightarrow\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{2}} \sqrt{{x}^{\mathrm{3}} +\mathrm{5}}}{\mathrm{sin}\:\mathrm{2}{x}}\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}}{\mathrm{sin}\:\mathrm{2}{x}}\:×\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\sqrt{{x}^{\mathrm{3}}…

Question Number 167100 by qaz last updated on 06/Mar/22 $$\mathrm{calculate}::\underset{\mathrm{x}\to 0^{+}}{\lim }\frac{{\int }_0^{\mathrm{x}}\cos {}^{\mathrm{n}}\left(\frac{1}{\mathrm{t}}\right)\mathrm{dt}}{\mathrm{x}}=?$$ Commented by mindispower last updated on 09/Mar/22 $${i}\:{deleat}\:{my}\:{solution}\:{i}\:{see}\:{my}\:{error}…

Question Number 167085 by mathlove last updated on 06/Mar/22 $$\underset{x\to \mathrm{\infty }}{\lim }{(\sqrt{x^2+3x}-\sqrt{x^2+x})}^x=?$$ Commented by cortano1 last updated on 06/Mar/22 $$\:\mathrm{L}=\mathrm{e}^{\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\sqrt{\mathrm{x}^{\mathrm{2}}…