Category: Relation and Functions

Question Number 43000 by abdo.msup.com last updated on 06/Sep/18 $$provethat\sqrt{2+\sqrt{2+\dots .+\sqrt{2}}}=2cos\left(\frac{\pi }{2^n}\right)$$ Answered by tanmay.chaudhury50@gmail.com last updated on 06/Sep/18 $$cos2\alpha =2{cos}^2\alpha -1$$$${cos}^{\mathrm{2}} \alpha=\frac{\mathrm{1}+{cos}\mathrm{2}\alpha}{\mathrm{2}}…

Question Number 42805 by maxmathsup by imad last updated on 02/Sep/18 $$calculate{lim}_{n\to +\mathrm{\infty }}{S}_{n}with$$$$S_n=\frac{1}{n^4}\sum _{k=1}^n\frac{k^3}{\sqrt{{(1+{\left(\frac{k}{n}\right)}^2)}^3}}$$…

Question Number 42788 by maxmathsup by imad last updated on 02/Sep/18 $$calculate{lim}_{x\to 0}\frac{2x}{ln\left(\frac{1+x}{1-x}\right)}-cosx$$ Commented by maxmathsup by imad last updated on 30/Sep/18 $${we}\:{have}\:\frac{\mathrm{2}{x}}{{ln}\left(\frac{\mathrm{1}+{x}}{\mathrm{1}−{x}}\right)}\:=\frac{\mathrm{2}{x}}{{ln}\left(\mathrm{1}+{x}\right)−{ln}\left(\mathrm{1}−{x}\right)}\:{but}…

Question Number 42787 by maxmathsup by imad last updated on 02/Sep/18 $$find{lim}_{x\to 0}\frac{1}{{\left(sinx\right)}^4}\{sin\left(\frac{x}{1-x}\right)-\frac{sinx}{1-sinx}\}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 42783 by maxmathsup by imad last updated on 02/Sep/18 $$calculate{lim}_{x\to \frac{\pi }{4}}\mid tan\left(2x\right){\mid }^{sin\left(4x\right)}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com