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Category: Algebra

lim-n-j-1-n-i-1-n-i-j-i-2-j-2-pi-2-ln-2-n-ln-n-

Question Number 175374 by MikeH last updated on 28/Aug/22 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left(\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}\underset{{i}\:=\:\mathrm{1}} {\overset{{n}} {\sum}}\frac{{i}+{j}}{{i}^{\mathrm{2}} +{j}^{\mathrm{2}} }−\left(\frac{\pi}{\mathrm{2}}+\:\mathrm{ln}\:\mathrm{2}\right){n}\:+\:\mathrm{ln}\:{n}\right)\:=\:? \\ $$ Terms of Service Privacy Policy Contact:…

solve-x-R-2-x-1-3-4-x-2-4-

Question Number 175333 by mnjuly1970 last updated on 27/Aug/22 $$ \\ $$$$\:\:\:{solve}\:\left({x}\:\in\:\mathbb{R}\:\right). \\ $$$$ \\ $$$$\:\:\lfloor\:\frac{\:\mathrm{2}^{\:{x}} \:+\mathrm{1}}{\mathrm{3}}\:\rfloor\:+\:\lfloor\:\mathrm{4}^{\:\frac{{x}}{\mathrm{2}}} \:\rfloor\:=\:\mathrm{4} \\ $$$$\:\:\:\:−−−−−−\: \\ $$ Answered by mr…

Question-175284

Question Number 175284 by zzzrot last updated on 26/Aug/22 Answered by MJS_new last updated on 26/Aug/22 $$\frac{\mathrm{92}{x}+\mathrm{89}{y}}{{x}+{y}}=\mathrm{91} \\ $$$$\mathrm{92}{x}+\mathrm{89}{y}=\mathrm{91}{x}+\mathrm{91}{y} \\ $$$${x}=\mathrm{2}{y} \\ $$$$\frac{{x}}{{y}}=\mathrm{2} \\ $$…

Question-44200

Question Number 44200 by Tawa1 last updated on 23/Sep/18 Commented by MJS last updated on 23/Sep/18 $${A} \\ $$$${term}\mathrm{1}×{term}\mathrm{2}=\mathrm{0}\:\Leftrightarrow\:{term}\mathrm{1}=\mathrm{0}\:\vee\:{term}\mathrm{2}=\mathrm{0} \\ $$$$\mathrm{e}^{{x}} −\mathrm{e}^{\pi} =\mathrm{0}\:\Rightarrow\:{x}=\pi \\ $$$$\mathrm{e}^{{x}}…

Question-109721

Question Number 109721 by Algoritm last updated on 25/Aug/20 Answered by 1549442205PVT last updated on 25/Aug/20 $$\mathrm{We}\:\mathrm{need}\:\mathrm{have}\:\mathrm{the}\:\mathrm{condition}\:\mathrm{that} \\ $$$$\mathrm{6}−\mathrm{x}>\mathrm{0}\:\mathrm{for}\:\mathrm{logarithm}\:\mathrm{is}\:\mathrm{meaning}.\mathrm{Then} \\ $$$$\mathrm{log}_{\mathrm{3}} \left(\mathrm{6}−\mathrm{x}\right)\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{2x}+\mathrm{6}}=\mathrm{x} \\ $$$$\Leftrightarrow\mathrm{log}_{\mathrm{3}}…