Category: Relation and Functions

Question Number 60706 by maxmathsup by imad last updated on 24/May/19 $$letf\left(x\right)=\sqrt{1+x^2}$$$$1)let{U}_n=f^{\left(n\right)}\left(x\right)provethat\sum _{k=0}^n{C}_n^k{U}_k{U}_{n+1-k}=0forn⩾2$$$$\left.\mathrm{2}\right)\:{developp}\:{f}\:{at}\:{integr}\:{serie}\:.…

Question Number 60682 by maxmathsup by imad last updated on 24/May/19 $$simplify{S}_n=\sum _{k=0}^n{sin}^k\left(x\right)cos\left(kx\right)$$ Commented by mathsolverby Abdo last updated on…

Question Number 60676 by maxmathsup by imad last updated on 24/May/19 $$let{S}_n=\sum _{k=1}^n{sin}^2\left(\frac{k\pi }{n^2}\right)find{lim}_{n\to \mathrm{\infty }}{S}_n$$ Commented by maxmathsup by imad…

Question Number 191732 by Spillover last updated on 29/Apr/23 $$Findtherelativemaximumandminimum$$$$ofthefunction$$$$f(x,y)={\mathrm{x}}^3+{\mathrm{y}}^3-3\mathrm{x}-12\mathrm{y}+20$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 60503 by prof Abdo imad last updated on 21/May/19 $$calculate\sum _{n=1}^{\mathrm{\infty }}\frac{1+2+3+\dots +n}{1^3+2^3+3^3+\dots +n^3}$$ Answered by Prithwish sen last…