Category: Relation and Functions

Question Number 35986 by abdo mathsup 649 cc last updated on 26/May/18 $$letf\left(x\right)=\sqrt{1+n{x}^2}-nx+3withnintegr$$$$1)calculate{lim}_{x\to +\mathrm{\infty }}and{lim}_{x\to -\mathrm{\infty }}f\left(x\right)$$$$2)calculate{f}^{{}^{\prime }}\left(x\right)$$$$3)givetheequationofassymptoteoffat$$$${point}\:\:{A}\left(\mathrm{1},{f}\left(\mathrm{1}\right)\right)\:.…

Question Number 167003 by cortano1 last updated on 04/Mar/22 $$\underset{\mathrm{n}=2}{\sum ^{\mathrm{n}=\mathrm{\infty }}}{\left(\frac{3}{4}\right)}^{\mathrm{n}}\cos \left(180°\mathrm{n}\right)=?$$ Answered by greogoury55 last updated on 04/Mar/22 $$\cos \left(180°n\right)={(-1)}^n$$$$\:\underset{{n}=\mathrm{2}}…

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