Category: Relation and Functions

Question Number 115997 by bemath last updated on 30/Sep/20 Answered by bobhans last updated on 30/Sep/20 $$\left(1\right)f\left(\frac{1}{x}\right)+f(1-x)=x\to f(1-x)=x-f\left(\frac{1}{x}\right)$$$$replace1-xbyx$$$$\left(2\right)f\left(\frac{1}{1-x}\right)+f\left(x\right)=1-x$$$$replace\frac{1}{x}by1-x$$$$\left(\mathrm{3}\right)\:{f}\left(\mathrm{1}−{x}\right)+{f}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)=\mathrm{1}−\frac{\mathrm{1}}{\mathrm{1}−{x}}…

Question Number 50426 by Abdo msup. last updated on 16/Dec/18 $$studytheconvergenceof$$$$U_n={\left(\frac{2}{\pi }{\int }_0^{\frac{\pi }{2}}{\left(sinx\right)}^{\frac{1}{n}}\right)}^n$$ Answered by tanmay.chaudhury50@gmail.com last updated on…

Question Number 50409 by Abdo msup. last updated on 16/Dec/18 $$find\left[\sum _{k=1}^{{10}^4}\frac{1}{\sqrt{k}}\right]$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 50405 by Abdo msup. last updated on 16/Dec/18 $$let{V}_n=\frac{1}{2n+1}+\frac{1}{2n+3}+\dots +\frac{1}{4n-1}$$$$determine{lim}_{n\to +\mathrm{\infty }}{V}_n$$ Answered by tanmay.chaudhury50@gmail.com last updated on 17/Dec/18 $${V}_{{n}}…

Question Number 50404 by Abdo msup. last updated on 16/Dec/18 $$find{lim}_{n\to +\mathrm{\infty }}{U}_{n}with$$$$U_n=\left(\sum _{k=1}^{n}ch\left(\frac{1}{\sqrt{k+n}}\right)\right)-n$$$$$$ Terms of Service…