Category: Relation and Functions

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…

Question Number 42036 by Tawa1 last updated on 17/Aug/18 $$\mathrm{State}\mathrm{the}\mathrm{phase}\mathrm{shift},\mathrm{the}\mathrm{amplitude}\mathrm{and}\mathrm{draw}\mathrm{the}\mathrm{graph}.$$$$\left(\mathrm{a}\right)\mathrm{g}\left(\theta \right)=\frac{3}{4}\sin (2\theta +\pi )$$$$\left(\mathrm{b}\right)\mathrm{f}\left(\theta \right)=1+\frac{3}{4}\sin (2\theta +\pi )$$$$\left(\mathrm{c}\right)\mathrm{f}\left(\theta \right)=4\theta$$$$$$ Commented by maxmathsup by imad…

Question Number 173007 by Mikenice last updated on 04/Jul/22 Commented by MJS_new last updated on 04/Jul/22 $$\mathrm{seriously}?$$$$\mathrm{which}\mathrm{of}\mathrm{the}\mathrm{following}\mathrm{animals}\mathrm{is}\mathrm{a}\mathrm{bird}?$$$$\mathrm{A}.\mathrm{mouse}$$$$\mathrm{B}.\mathrm{cat}$$$$\mathrm{C}.\:\mathrm{dog}…

Question Number 107292 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{let}{\mathrm{U}}_{\mathrm{n}}=\sum _{\mathrm{k}=1}^{\mathrm{n}}\sin \left(\frac{\mathrm{k}}{\mathrm{n}}\right)\sin \left(\frac{\mathrm{k}}{{\mathrm{n}}^2}\right)$$$$\mathrm{calculate}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}{\mathrm{U}}_{\mathrm{n}}$$ Terms of Service Privacy…

Question Number 107288 by mathmax by abdo last updated on 09/Aug/20 $$\mathrm{let}{\mathrm{u}}_{\mathrm{n}}=\frac{1}{{\mathrm{n}}^2}\prod _{\mathrm{k}=1}^{\mathrm{n}}{({\mathrm{n}}^2+{\mathrm{k}}^2)}^{\frac{1}{\mathrm{n}}}$$$$\mathrm{determine}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}{\mathrm{u}}_{\mathrm{n}}$$ Answered by…