Category: Relation and Functions

Question Number 96196 by mathmax by abdo last updated on 30/May/20 $$\mathrm{let}\mathrm{g}\left(\mathrm{x}\right)=\ln \left(\mathrm{sinx}\right)\mathrm{developp}\mathrm{g}\mathrm{at}\mathrm{fourier}\mathrm{serie}$$ Answered by mathmax by abdo last updated on 31/May/20 $$\mathrm{g}\left(\mathrm{x}\right)\:=\mathrm{ln}\left(\mathrm{sinx}\right)\:=\mathrm{ln}\left(\frac{\mathrm{e}^{\mathrm{ix}} −\mathrm{e}^{−\mathrm{ix}}…

Question Number 30601 by abdo imad last updated on 23/Feb/18 $$for0<r⩽1and(\theta ,x)\in R^{2}find$$$$S=\sum _{n=0}^{\mathrm{\infty }}{r}^{n}cos\left(n\theta \right).$$ Commented by abdo imad last updated…

Question Number 30563 by abdo imad last updated on 23/Feb/18 $$letf\left(x\right)=\mid x-2\left[\frac{x+1}{2}\right]\mid$$$$1)provethatfisperiodic$$$$2)simplifyf\left(x\right)ifp⩽x+1andp\in Z.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 30556 by abdo imad last updated on 23/Feb/18 $$let{S}_n\left(x\right)=\sum _{k=1}^n\frac{sin\left(kx\right)}{k^2(k+1)}find{lim}_{n\to \mathrm{\infty }}{S}_n\left(x\right).$$ Terms of Service Privacy Policy Contact:…

Question Number 30552 by abdo imad last updated on 23/Feb/18 $$finds\left(x\right)=\sum _{n⩾0}\frac{sin\left(na\right)}{{\left(sina\right)}^n}\frac{x^n}{n!}and$$$$T\left(x\right)=\sum _{n⩾0}\frac{cos\left(na\right)}{{\left(sina\right)}^n}\frac{x^n}{n!}.$$ Terms of Service Privacy…