Category: Relation and Functions

Question Number 34865 by a.i msup by abdo last updated on 12/May/18 $$letf\left(x\right)=e^{-\sqrt{1+2x}}$$$$developpfatintegrserie.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 34849 by math khazana by abdo last updated on 11/May/18 $$letf\left(x\right)=\frac{e^{-x}}{2+x}$$$$developpfatintegrserie.$$ Commented by math khazana by abdo last…

Question Number 165848 by leonhard77 last updated on 09/Feb/22 $$f\left(\frac{1}{x}\right)+f(1-x)=x$$$$f\left(x\right)=?$$ Answered by qaz last updated on 10/Feb/22 $$\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}(1-\frac{1}{\mathrm{x}})=\frac{1}{\mathrm{x}}$$$$\Rightarrow\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{x}}−\mathrm{f}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{x}}\right) \…

Question Number 34770 by abdo mathsup 649 cc last updated on 10/May/18 $$letf\left(x\right)=ln(1+{ix}^2)$$$$1)extrsctRe\left(f\left(x\right)\right)andIm\left(f\left(x\right)\right)$$$$2)developpfatintegrserie$$$$3)calculate{f}^{{}^{\prime }}\left(x\right)bytwomethods$$ Commented by…

Question Number 34721 by abdo mathsup 649 cc last updated on 10/May/18 $$let\xi \left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n^x}withx>1$$$$1)provethat\frac{1}{x-1}⩽\xi \left(x\right)⩽\frac{x}{x-1}$$$$2)find{lim}_{x\to 1^{+}}(x-1)\xi \left(x\right).$$ Terms…