Category: Relation and Functions

Question Number 43259 by maxmathsup by imad last updated on 08/Sep/18 $$calculate\sum _{n=2}^{\mathrm{\infty }}\frac{{(-1)}^n}{n^2-1}$$ Commented by maxmathsup by imad last updated…

Question Number 108711 by mathmax by abdo last updated on 18/Aug/20 $$\mathrm{calculate}{\mathrm{U}}_{\mathrm{n}}={\int }_0^{\mathrm{\infty }}{(-1)}^{2\left[\mathrm{x}\right]-1}\cos \left(\mathrm{n}\left[\mathrm{x}\right]\right)\mathrm{dx}$$$$\mathrm{find}\mathrm{nature}\mathrm{of}\mathrm{\Sigma }{\mathrm{U}}_{\mathrm{n}}$$ Answered by mathmax by abdo…

Question Number 108705 by mathmax by abdo last updated on 18/Aug/20 $$\mathrm{if}\sum _{\mathrm{k}=1}^{\mathrm{n}}{\mathrm{u}}_{\mathrm{k}}=\mathrm{n}(2^{\mathrm{n}}+3)\mathrm{determine}{\lim }_{\mathrm{n}\to +\mathrm{\infty }}\sum _{\mathrm{k}=1}^{\mathrm{n}}\frac{1}{{\mathrm{u}}_{\mathrm{k}}}$$ Answered by mathmax…

Question Number 108547 by 1549442205PVT last updated on 17/Aug/20 $$\mathrm{Solve}\mathrm{the}\mathrm{following}\mathrm{equation}:$$$$\mathrm{cosz}=2$$ Answered by mr W last updated on 17/Aug/20 $${e}^{{zi}} =\mathrm{cos}\:{z}+{i}\:\mathrm{sin}\:{z} \…

Question Number 43001 by abdo.msup.com last updated on 06/Sep/18 $$provethat\prod _{k=1}^n(1+\frac{1}{k})>1+\sum _{k=1}^n\frac{1}{k}$$ Answered by tanmay.chaudhury50@gmail.com last updated on 06/Sep/18 $${LHS} \…