Category: Relation and Functions

Question Number 42401 by abdo.msup.com last updated on 24/Aug/18 $$calculate\sum _{n=0}^{\mathrm{\infty }}\frac{{(-1)}^n}{{(n+1)}^2}$$ Commented by maxmathsup by imad last updated on 25/Aug/18…

Question Number 42278 by rish@bh last updated on 21/Aug/18 Commented by tanmay.chaudhury50@gmail.com last updated on 24/Aug/18 $$excellentproblem\dots$$$$\mathrm{\Psi }=\overrightarrow{B}.\overrightarrow{A}$$$$\frac{{d}\Psi}{{dt}}=\overset{\rightarrow} {{B}}.\frac{{d}\overset{\rightarrow} {{A}}}{{dt}}+\frac{{d}\overset{\rightarrow}…

Question Number 42190 by maxmathsup by imad last updated on 19/Aug/18 $$let{u}_n=\sum _{k=1}^n\frac{{(-1)}^k}{\sqrt{k}}$$$$1)provethat\left(u_n\right)isconvergente$$$$2)findaequivalentof{u}_{n}whenn\to +\mathrm{\infty }$$ Commented…

Question Number 42098 by abdo.msup.com last updated on 17/Aug/18 $$let{S}_{n,p}=\sum _{k=1}^n\frac{1}{\sqrt{k+p}}$$$$findaequivalentof{S}_{n,p}whenn\to +\mathrm{\infty }$$$$pintegr⩾1.$$ Commented by maxmathsup by imad…

Question Number 42089 by maxmathsup by imad last updated on 17/Aug/18 $$letf\left(x\right)=\sum _{n=1}^{\mathrm{\infty }}\frac{sin\left(nx\right)}{n}{x}^{n}with-1<x<1$$$$1)findaexpliciteformoff\left(x\right)$$$$2)findthevalueof\sum _{n=1}^{\mathrm{\infty }}\frac{1}{n{2}^n}sin\left(\frac{n}{2}\right)$$ Commented…