Category: Differentiation

Question Number 126777 by snipers237 last updated on 24/Dec/20 $$letconsider\left(u_n\right)suchas{u}_0\in ]0;1[and{u}_{n+1}=u_n-u_n^2$$$$1)Provethat\underset{n\to \mathrm{\infty }}{\lim }{}^n\sqrt{u_n}=1andthattheconvergencedomainof\mathrm{\Sigma }{u}_n{x}^n$$$${is}\:\:{D}=\left[−\mathrm{1};\mathrm{1}\left[\:\right.\right.…

Question Number 192289 by cortano12 last updated on 14/May/23 $$\underset{-\mathrm{e}}{\stackrel{\mathrm{e}}{\int }}\frac{\sin \mathrm{x}}{\sec {}^2\mathrm{x}+1}\mathrm{dx}=?$$ Answered by mehdee42 last updated on 14/May/23 $${f}\left({x}\right)=\frac{{sinx}}{{secx}^{\mathrm{2}} {x}+\mathrm{1}}\Rightarrow{f}\left(−{x}\right)={f}\left({x}\right) \…

Question Number 126726 by mnjuly1970 last updated on 23/Dec/20 $$\dots advancedcalculus\dots$$$$provethat:$$$$\underset{n=1}{\sum ^{\mathrm{\infty }}}\frac{{\mathrm{H}}_n}{n^4}\stackrel{?}{=}3\zeta \left(5\right)-\zeta \left(2\right)\left(3\right)\dots .$$$$where::{\mathrm{H}}_n=1+\frac{1}{2}+\frac{1}{3}+\dots +\frac{1}{n}$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:………. \…

Question Number 61180 by mathsolverby Abdo last updated on 30/May/19 $$solve{y}^{{}^{″}}+3y^{{}^{\prime }}-y=sin\left(2x\right)$$ Answered by tanmay last updated on 30/May/19 $$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}} }+\mathrm{3}\frac{{dy}}{{dx}}−{y}={sin}\mathrm{2}{x}…

Question Number 126713 by BHOOPENDRA last updated on 23/Dec/20 Terms of Service Privacy Policy Contact: info@tinkutara.com