Category: Relation and Functions

Question Number 53466 by maxmathsup by imad last updated on 22/Jan/19 $$let{U}_n=\frac{1}{n}{\left\{\prod _{k=1}^n(n+k)\right\}}^{\frac{1}{n}}$$$$find{lim}_{n\to +\mathrm{\infty }}{U}_n$$ Answered by Prithwish sen last…

Question Number 118381 by bramlexs22 last updated on 17/Oct/20 $$Howdoyouexpressthisquestion$$$$inpartialfraction\frac{5x^2+x+6}{(3-2x)(x^2+4)}$$$$henceobtaintheexpansion$$$$isascendingpowersofxup$$$$toandincludingtheterm{x}^2$$ Commented by bramlexs22…

Question Number 52679 by maxmathsup by imad last updated on 11/Jan/19 $$let{f}_n\left(x\right)=\frac{{(-1)}^n}{n+x}withx>0$$$$1)studythesimpleconvergenceof\mathrm{\Sigma }{f}_n\left(x\right)$$$$2)calculate{f}^{{}^{\prime }}\left(x\right)$$ Commented by maxmathsup…

Question Number 52678 by maxmathsup by imad last updated on 11/Jan/19 $$let{u}_n=ln\left\{cos\left(2^{-n}\right)\right\}calculate\sum _{n=0}^{\mathrm{\infty }}{u}_n$$ Commented by Abdo msup. last updated on…

Question Number 52673 by maxmathsup by imad last updated on 11/Jan/19 $$letf\left(x\right)=(x^n-1)e^{x}determine{f}^{\left(n\right)}\left(x\right)withnintegrnatural$$ Commented by maxmathsup by imad last updated on…