Category: Relation and Functions

Question Number 99920 by abdomathmax last updated on 24/Jun/20 $$\mathrm{calculate}\prod _{\mathrm{n}=2}^{\mathrm{\infty }}\frac{{\mathrm{n}}^3-1}{{\mathrm{n}}^3+1}$$ Answered by maths mind last updated on 24/Jun/20 $$=\underset{{n}=\mathrm{2}}…

Question Number 34313 by prof Abdo imad last updated on 03/May/18 $$let{u}_0=x\ne oand{u}_{n+1}=ln\left(\frac{e^{u_n}-1}{u_n}\right)$$$$1)studytheconvervenceof\left(u_n\right)$$$$\left.\mathrm{2}\right){find}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\left(\prod_{{k}=\mathrm{0}} ^{{n}}…

Question Number 34310 by prof Abdo imad last updated on 03/May/18 $$letf\left(x\right)={\int }_{-\mathrm{\infty }}^x\frac{dt}{1+t^2+t^4}$$$$1)provethatfidderivsbleandcalculate{f}^{{}^{\prime }}\left(x\right)$$$$2)devellppfatintegrserieato.$$ Terms of…

Question Number 99839 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{let}{\mathrm{x}}_0=1\mathrm{and}{\mathrm{x}}_{\mathrm{n}+1}=\ln ({\mathrm{e}}^{{\mathrm{x}}_{\mathrm{n}}}-{\mathrm{x}}_{\mathrm{n}})$$$$1)\mathrm{prove}\mathrm{that}{\mathrm{x}}_{\mathrm{n}}\to 0$$$$2)\mathrm{prove}\mathrm{that}\mathrm{\Sigma }{\mathrm{x}}_{\mathrm{n}}\mathrm{converges}\mathrm{and}\mathrm{ddyermine}\mathrm{its}\mathrm{sum}$$…

Question Number 99828 by mathmax by abdo last updated on 23/Jun/20 $$\mathrm{let}\mathrm{A}=\left(\begin{array}{c}21\\ 12\end{array}\right)$$$$1)\mathrm{calculate}{\mathrm{A}}^{\mathrm{n}}$$$$2)\mathrm{determine}\mathrm{cosA}\mathrm{and}\mathrm{sinA}$$$$3)\mathrm{find}\mathrm{chA}\mathrm{and}\mathrm{shA}$$ Commented by bachamohamed last updated…