Category: Relation and Functions

Question Number 174981 by oustmuchiya@gmail.com last updated on 15/Aug/22 Commented by Rasheed.Sindhi last updated on 15/Aug/22 $$pl\mathit{t}\mathit{y}\mathit{p}\mathit{e}yourquestionorupload$$$$betterimage!$$ Terms of Service Privacy…

Question Number 174938 by Mathspace last updated on 14/Aug/22 $$let{u}_n={\int }_0^1{x}^{n}artan\left(nx\right)dx$$$$1)lim{u}_n?$$$$2)natureof\mathrm{\Sigma }{u}_n$$$$3)calculate{u}_n$$$$\left.\mathrm{4}\right){equivalent}\:{of}\:{u}_{{n}} ? \…

Question Number 109217 by mathmax by abdo last updated on 22/Aug/20 $$\mathrm{find}{\mathrm{U}}_{\mathrm{n}}={\int }_0^1\sin \left(\mathrm{narctanx}\right)\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 109191 by abdomsup last updated on 21/Aug/20 $$find{lim}_{x\to \frac{\pi }{2}}{\left(sinx\right)}^{ln\mid x-\frac{\pi }{2}\mid }$$ Commented by bemath last updated on 22/Aug/20 $$setx=\frac{\pi }{2}+z$$$${L}=\:\underset{{z}\rightarrow\mathrm{0}} {\mathrm{lim}}\left(\mathrm{sin}\:\left(\frac{\pi}{\mathrm{2}}+{z}\right)\right)^{\mathrm{ln}\:\mid{z}\mid} =\underset{{z}\rightarrow\mathrm{0}}…

Question Number 43541 by abdo.msup.com last updated on 11/Sep/18 $$let{u}_0=u_1=1and{u}_{n+1}=u_n+u_{n-1}$$$$2)find{u}_n$$$$3)let{x}_{0}thepositifrootsof{x}^2=x+1$$$$\left.\mathrm{4}\right)\:{prove}\:{that}\:\forall{n}\geqslant\mathrm{2}\:\:{x}_{\mathrm{0}} ^{{n}−\mathrm{2}} \leqslant{u}_{{n}} \leqslant{x}_{\mathrm{0}}…