Category: Relation and Functions

Question Number 46610 by maxmathsup by imad last updated on 29/Oct/18 $$let{f}_n\left(x\right)=e^{-nx}-2e^{-2nx}withxfrom[0,+\mathrm{\infty }[$$$$\left.\mathrm{1}\right){calculate}\:\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\:\:{and}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\left(\int_{\mathrm{0}} ^{\infty} \:{f}_{{n}} \left({x}\right){dx}\right)…

Question Number 46598 by maxmathsup by imad last updated on 29/Oct/18 $$calculate\sum _{n=0}^{\mathrm{\infty }}arctan\left(\frac{1}{n^2+n+1}\right)$$ Commented by math khazana by abdo last updated…

Question Number 46424 by maxmathsup by imad last updated on 25/Oct/18 $$letf\left(x\right)=\frac{e^{-x}}{x^2+4}$$$$1)calculate{f}^{\left(n\right)}\left(x\right)and{f}^{\left(n\right)}\left(0\right)$$$$2)developpfatintegrserie.$$ Commented by maxmathsup…

Question Number 46419 by maxmathsup by imad last updated on 25/Oct/18 $$letf\left(x\right)=\sqrt{x+1-\sqrt{x-1}}$$$$1)find{D}_f$$$$2)determine{f}^{-1}\left(x\right)$$$$3)find\int f\left(x\right)dx$$$$4)dtetrmine\int f^{-1}\left(x\right)$$$$\left.\mathrm{5}\right)\:{let}\:{g}\left({x}\right)=\:\left({ch}\left({x}\right)\right)^{\mathrm{2}} \:\:\:{calculate}\:{fog}\left({x}\right)\:{and}\:\left({fog}\right)^{'}…

Question Number 111769 by mathmax by abdo last updated on 04/Sep/20 $$\mathrm{let}{\mathrm{u}}_{\mathrm{n}}=\sum _{\mathrm{k}=1}^{\mathrm{n}}\frac{1}{\sqrt{(\mathrm{k}+\mathrm{n})(\mathrm{k}+\mathrm{n}+1)}}$$$$\mathrm{detremine}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}{\mathrm{u}}_{\mathrm{n}}$$ Terms of Service Privacy Policy…