Category: Limits

Question Number 160491 by Ar Brandon last updated on 30/Nov/21 Commented by Ar Brandon last updated on 30/Nov/21 $$\mathrm{Determine}\mathrm{the}\mathrm{limits}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{sums};$$$${u}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{{n}}{{nk}^{\mathrm{2}} +{k}+\mathrm{1}}…

Question Number 160439 by qaz last updated on 29/Nov/21 $$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }{\left(\frac{1}{3\pi }{\int }_{\pi }^{2\pi }\frac{\mathrm{x}}{\arctan \left(\mathrm{nx}\right)}\mathrm{dx}\right)}^{\mathrm{n}}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 29363 by puneet1789 last updated on 08/Feb/18 Commented by puneet1789 last updated on 08/Feb/18 plzzz try this.. Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 160395 by qaz last updated on 29/Nov/21 $${\mathrm{I}}_{\mathrm{n}}={\int }_0^{\pi /2}\frac{\sin {}^2\left(\mathrm{nt}\right)}{\sin \mathrm{t}}\mathrm{dt}$$$$\mathrm{Find}::\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }({2\mathrm{I}}_{\mathrm{n}}-\mathrm{lnn})=?$$ Answered by Kamel last updated…

Question Number 160384 by qaz last updated on 28/Nov/21 $$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim n}{\int }_1^{1+\frac{1}{\mathrm{n}}}\sqrt{1+{\mathrm{x}}^{\mathrm{n}}}\mathrm{dx}=?$$ Answered by mathmax by abdo last updated on 29/Nov/21…