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Category: Mensuration

lim-n-1-n-n-2-n-n-n-1-n-n-

Question Number 194985 by Erico last updated on 21/Jul/23 $$\underset{\mathrm{n}\rightarrow+\infty} {\mathrm{lim}}\left[\left(\frac{\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} +\left(\frac{\mathrm{2}}{\mathrm{n}}\right)^{\mathrm{n}} +…\left(\frac{\mathrm{n}−\mathrm{1}}{\mathrm{n}}\right)^{\mathrm{n}} \right]=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-194967

Question Number 194967 by Rupesh123 last updated on 21/Jul/23 Answered by a.lgnaoui last updated on 23/Jul/23 $$\mathrm{4}\:\mathrm{cercles}\:\mathrm{disposes}\:\mathrm{comme}\:\mathrm{suit} \\ $$$$\left.\bullet\mathrm{1}\right)\:\:\mathrm{cercle}\:\boldsymbol{\mathrm{R}}\mathrm{ouge}\:\boldsymbol{\mathrm{C}}\mathrm{1}\left(\mathrm{Rayon}\:\boldsymbol{\mathrm{R}}\mathrm{1}\right) \\ $$$$\:\:\:\:\:\:\mathrm{2}\boldsymbol{\mathrm{R}}\mathrm{1}=\boldsymbol{\mathrm{AB}}=\mathrm{12}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{R}}\mathrm{1}=\mathrm{6} \\ $$$$\left.\bullet\mathrm{2}\right)\:\mathrm{cercle}\:\boldsymbol{\mathrm{V}}\mathrm{ert}\:\boldsymbol{\mathrm{C}}\mathrm{2}\left(\boldsymbol{\mathrm{R}}\mathrm{ayon}\:\boldsymbol{\mathrm{R}}\mathrm{2}\right)\:/ \\ $$$$\:\:\:\:\:\mathrm{demi}−\mathrm{cercle}\:\:\boldsymbol{\mathrm{C}}\left(\boldsymbol{\mathrm{A}},\boldsymbol{\mathrm{B}},\boldsymbol{\mathrm{C}}\right)…

Question-194127

Question Number 194127 by Rupesh123 last updated on 28/Jun/23 Answered by MM42 last updated on 28/Jun/23 $${AC}={CE}\Rightarrow<{CAE}=\mathrm{45}\Rightarrow{BH}={AH} \\ $$$$\frac{{BH}}{\mathrm{8}}=\frac{{HF}}{\mathrm{6}}\Rightarrow\mathrm{3}{BH}=\mathrm{4}\left(\mathrm{6}−{BH}\right) \\ $$$$\Rightarrow{BH}=\frac{\mathrm{24}}{\mathrm{7}}\Rightarrow{S}=\frac{\mathrm{72}}{\mathrm{7}}\: \\ $$$$ \\ $$…