Category: Relation and Functions

Question Number 35833 by abdo mathsup 649 cc last updated on 24/May/18 $$fond{lim}_{n\to +\mathrm{\infty }}{n}^a\{ln(1+e^{-n})-e^{-n}\}witha>0$$ Commented by prof Abdo imad last…

Question Number 35769 by Tinkutara last updated on 23/May/18 Answered by ajfour last updated on 23/May/18 $$letf\left(x\right)=\frac{2x}{1+x^2}$$$$\frac{{df}\left({x}\right)}{{dx}}=\frac{\mathrm{2}\left(\mathrm{1}+{x}^{\mathrm{2}} \right)−\mathrm{4}{x}^{\mathrm{2}} }{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}} }\:=\:\frac{\mathrm{2}\left(\mathrm{1}−{x}\right)\left(\mathrm{1}+{x}\right)}{\left(\mathrm{1}+{x}^{\mathrm{2}} \right)^{\mathrm{2}}…

Question Number 101273 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{caoculate}{\lim }_{\mathrm{x}\to 0}\frac{\mathrm{sh}\left(\sin \left(2\mathrm{x}\right)\right)-\sin \left(\mathrm{sh}\left(2\mathrm{x}\right)\right)}{{\mathrm{x}}^3}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 35688 by prof Abdo imad last updated on 22/May/18 $$let{A}_n=\sum _{k=1}^n\frac{1}{k+n}ln(1+\frac{k}{n})$$$$calculate{lim}_{n\to +\mathrm{\infty }}{A}_n$$ Commented by prof Abdo imad…

Question Number 101172 by I want to learn more last updated on 01/Jul/20 $$\mathrm{Find}\mathrm{the}\mathrm{range}\mathrm{of}\mathrm{the}\mathrm{function}:$$$$\mathrm{y}=2-{\mathrm{x}}^2\sin \left(\mathrm{x}\right),\mathrm{x}⩾0$$ Answered by 1549442205 last updated on…