Question Number 159578 by HongKing last updated on 18/Nov/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\boldsymbol{\mathrm{n}}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\left(\mathrm{log}\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{n}\:+\:\mathrm{1}}\right)\right)^{\mathrm{2}} }{\mathrm{log}\left(\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{n}\:+\:\mathrm{2}}\right)}\right) \\ $$$$\mathrm{Answer}:\:\:\mathrm{0} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 159568 by HongKing last updated on 18/Nov/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\:\int\:\mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)\:\centerdot\:\mathrm{cos}\left(\mathrm{x}\right)\:\mathrm{dx} \\ $$$$ \\ $$ Commented by HongKing last updated on 18/Nov/21 $$\mathrm{Sorry}\:\mathrm{this}\:\mathrm{example}\:\mathrm{came}\:\mathrm{by}\:\mathrm{mistake}…
Question Number 159551 by henderson last updated on 18/Nov/21 $$\boldsymbol{\mathrm{hi}}\:! \\ $$$$\boldsymbol{\mathrm{help}}\:\boldsymbol{\mathrm{me}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{one}}\:: \\ $$$$\:\:\:\:\:\underset{\underset{>} {\boldsymbol{{x}}\rightarrow\mathrm{0}}} {\boldsymbol{{lim}}}\:\boldsymbol{{x}}\:\boldsymbol{\mathrm{E}}\:\left(\frac{\boldsymbol{\pi}}{\boldsymbol{{x}}}\right)\:=\:?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 159532 by HongKing last updated on 18/Nov/21 $$\mathrm{if}\:\:\mathrm{0}<\mathrm{a}\leqslant\mathrm{b}\:\:\mathrm{then}: \\ $$$$\underset{\:\boldsymbol{\mathrm{a}}} {\overset{\:\boldsymbol{\mathrm{b}}} {\int}}\:\frac{\mathrm{x}^{\mathrm{19}} }{\:\sqrt{\mathrm{1}\:+\:\mathrm{x}^{\mathrm{30}} }}\:\mathrm{dx}\:\geqslant\:\mathrm{log}\:\sqrt[{\mathrm{10}}]{\frac{\mathrm{2}\:+\:\mathrm{b}^{\mathrm{20}} }{\mathrm{2}\:+\:\mathrm{a}^{\mathrm{20}} }} \\ $$$$ \\ $$ Terms of Service…
Question Number 159529 by HongKing last updated on 18/Nov/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\begin{cases}{\mathrm{2x}^{\mathrm{2}} \:+\:\mathrm{3y}^{\mathrm{2}} \:+\:\mathrm{z}^{\mathrm{2}} \:=\:\mathrm{7}}\\{\mathrm{x}^{\mathrm{2}} \:+\:\mathrm{y}^{\mathrm{2}} \:+\:\mathrm{z}^{\mathrm{2}} \:=\:\sqrt{\mathrm{2}}\:\mathrm{z}\:\left(\mathrm{x}\:+\:\mathrm{y}\right)}\end{cases} \\ $$$$ \\ $$ Answered by 1549442205PVT…
Question Number 159534 by HongKing last updated on 18/Nov/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\mathrm{1}} {\int}}\:\mathrm{arctan}^{\mathrm{2}} \:\left(\mathrm{x}\right)\:\mathrm{dx} \\ $$$$ \\ $$ Answered by chhaythean last updated on…
Question Number 159530 by HongKing last updated on 18/Nov/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 159528 by HongKing last updated on 18/Nov/21 $$\mathrm{Find}: \\ $$$$\boldsymbol{\Omega}\:=\underset{\:\mathrm{0}} {\overset{\:\frac{\boldsymbol{\pi}}{\mathrm{6}}} {\int}}\frac{\mathrm{sin}\left(\mathrm{x}\right)\centerdot\mathrm{sin}\left(\mathrm{x}\:+\:\frac{\pi}{\mathrm{3}}\right)\centerdot\mathrm{sin}\left(\mathrm{x}\:+\:\frac{\mathrm{2}\pi}{\mathrm{3}}\right)}{\mathrm{sin}\left(\mathrm{3x}\right)\:+\:\mathrm{cos}\left(\mathrm{3x}\right)}\:\mathrm{dx} \\ $$$$\mathrm{Answer}:\:\:\frac{\pi}{\mathrm{48}} \\ $$ Answered by mnjuly1970 last updated on 18/Nov/21…
Question Number 159527 by HongKing last updated on 18/Nov/21 Commented by mr W last updated on 18/Nov/21 $${only}\:{x}=\frac{\mathrm{23}}{\mathrm{24}} \\ $$ Commented by HongKing last updated…
Question Number 159517 by Khalmohmmad last updated on 18/Nov/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}}{{x}^{\mathrm{2}} }\left({e}^{−\mathrm{2}{x}} −\frac{\mathrm{1}+{ax}}{\mathrm{1}+{bx}}\right) \\ $$$${a}+{b}=? \\ $$ Commented by tounghoungko last updated on 18/Nov/21 $$\:\underset{{x}\rightarrow\mathrm{0}}…