Category: Relation and Functions

Question Number 129383 by mathmax by abdo last updated on 15/Jan/21 $$\mathrm{find}\mathrm{the}\mathrm{sequence}{\mathrm{u}}_{\mathrm{n}}\mathrm{wish}\mathrm{verify}{\mathrm{u}}_{\mathrm{n}-\mathrm{p}}+{\mathrm{u}}_{\mathrm{n}+\mathrm{p}}=\frac{{(-1)}^{\mathrm{p}}}{\mathrm{n}+\mathrm{p}}$$$$\mathrm{for}\mathrm{all}\mathrm{n}⩾\mathrm{p}$$ Terms of Service Privacy Policy…

Question Number 129213 by bramlexs22 last updated on 13/Jan/21 $$\mathrm{Given}\mathrm{f}\left(\mathrm{x}\right)=\frac{2\mathrm{x}-1}{2\mathrm{x}+1}\mathrm{and}\frac{\mathrm{f}\left(\frac{1}{{\mathrm{x}}^2}\right)-1}{\mathrm{f}\left(\frac{1}{{\mathrm{x}}^2}\right)+1}=\frac{1}{{\mathrm{x}}^2}$$$$\mathrm{then}\mathrm{x}=?$$ Answered by liberty last updated on 13/Jan/21 $$\:\mathrm{f}\left(\frac{\mathrm{1}}{\mathrm{x}^{\mathrm{2}}…

Question Number 63651 by mathmax by abdo last updated on 06/Jul/19 $$let{S}_n\left(x\right)=\sum _{k=0}^n{e}^{-k}sin\left(k^{2}x\right)$$$$1)determine2sequence{U}_n\left(x\right)and{V}_n\left(x\right)wichverify{U}_n⩽S_n⩽V_n$$$$\left.\mathrm{2}\right)\:{let}\:\:{S}\:={lim}_{{n}\rightarrow+\infty}…

Question Number 129052 by oustmuchiya@gmail.com last updated on 12/Jan/21 $$Let\mathbf{p}and\mathbf{Q}bepointsonthecurve$$$$\mathit{y}={\mathit{x}}^2-2\mathit{x}while\mathit{x}=2and\mathit{x}=2+\mathit{h}$$$$\mathit{r}\mathit{e}\mathit{s}\mathit{p}\mathit{e}\mathit{c}\mathit{t}\mathit{i}\mathit{v}\mathit{e}\mathit{l}\mathit{y}.\mathit{E}pressthegradient$$$$of\mathbf{P}Qintermsof\mathit{h}.$$ Commented by benjo_mathlover last updated on…

Question Number 63389 by mathmax by abdo last updated on 03/Jul/19 $$ffunctionintegrableon[a,b]$$$$ismax{\int }_a^{b}f\left(x\right)dx={\int }_a^{b}maxf\left(x\right)dx?ifnotgiveaoppositeexample.$$ Commented by MJS last updated…