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lim-x-x-x-x-x-x-please-solution-

Question Number 186500 by 073 last updated on 05/Feb/23 $$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}+\sqrt{\mathrm{x}}}}}−\sqrt{\mathrm{x}}=? \\ $$$$\mathrm{please}\:\mathrm{solution} \\ $$ Answered by greougoury555 last updated on 05/Feb/23 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}{\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}}}}}\:+\sqrt{{x}}} \\…

x-y-z-are-real-numbers-x-y-z-4-x-2-y-2-z-2-10-x-3-y-3-z-3-22-Find-x-4-y-4-z-4-

Question Number 120952 by abony1303 last updated on 04/Nov/20 $$\mathrm{x},\mathrm{y},\mathrm{z}\:{are}\:{real}\:{numbers} \\ $$$$\begin{cases}{\mathrm{x}+\mathrm{y}+\mathrm{z}=\mathrm{4}}\\{\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} =\mathrm{10}}\\{\mathrm{x}^{\mathrm{3}} +\mathrm{y}^{\mathrm{3}} +\mathrm{z}^{\mathrm{3}} =\mathrm{22}}\end{cases}\:\:\:\:\:{Find}\:\mathrm{x}^{\mathrm{4}} +\mathrm{y}^{\mathrm{4}} +\mathrm{z}^{\mathrm{4}} \\ $$ Answered by MJS_new…

Question-55410

Question Number 55410 by naka3546 last updated on 23/Feb/19 Answered by mr W last updated on 24/Feb/19 $${n}\left({n}−\mathrm{2016}\right)={m}^{\mathrm{2}} \\ $$$${n}^{\mathrm{2}} −\mathrm{2016}{n}−{m}^{\mathrm{2}} =\mathrm{0} \\ $$$${n}=\mathrm{1008}+\sqrt{\mathrm{1008}^{\mathrm{2}} +{m}^{\mathrm{2}}…

Question-120937

Question Number 120937 by Khalmohmmad last updated on 04/Nov/20 Answered by Dwaipayan Shikari last updated on 04/Nov/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{2}{n}+\mathrm{1}}{\left({n}+\mathrm{1}\right)^{\mathrm{2}} \left({n}+\mathrm{2}\right)^{\mathrm{2}} } \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty}…

Simplify-1-2-2-2-2-3-3-2-4-n-2-n-1-2-n-1-to-n-2-n-2-

Question Number 186468 by aba last updated on 04/Feb/23 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Simplify} \\ $$$$\frac{\mathrm{1}^{\mathrm{2}} \centerdot\mathrm{2}!+\mathrm{2}^{\mathrm{2}} \centerdot\mathrm{3}!+\mathrm{3}^{\mathrm{2}} \centerdot\mathrm{4}!+\centerdot\centerdot\centerdot+{n}^{\mathrm{2}} \left({n}+\mathrm{1}\right)!−\mathrm{2}}{\left({n}+\mathrm{1}\right)!} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{to} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{n}^{\mathrm{2}} +\mathrm{n}−\mathrm{2} \\ $$ Answered by…

Question-120920

Question Number 120920 by Khalmohmmad last updated on 04/Nov/20 Answered by MJS_new last updated on 04/Nov/20 $$\mathrm{20}^{\mathrm{111}} \\ $$$$ \\ $$$$\mathrm{0}\:\mathrm{because}\:{k}=\mathrm{0}\:\Rightarrow\:{k}^{\mathrm{2}} +{k}=\mathrm{0}\:\mathrm{and}\:\mathrm{we}'\mathrm{re}\:\mathrm{multiplying} \\ $$$$ \\…

1-e-x-1-dx-

Question Number 120919 by bounhome last updated on 04/Nov/20 $$\int\frac{\mathrm{1}}{\left({e}^{{x}} +\mathrm{1}\right)}{dx}=? \\ $$ Answered by Dwaipayan Shikari last updated on 04/Nov/20 $$\int\frac{\mathrm{1}}{{e}^{{x}} +\mathrm{1}}{dx} \\ $$$$=\int\frac{{dt}}{{t}\left({t}−\mathrm{1}\right)}\:\:\:\:\:\:\:\:\:\:\:\:{t}={e}^{{x}}…