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ln-1-x-2-2x-4-dx-

Question Number 146959 by Gbenga last updated on 16/Jul/21 $$\int{ln}\left(\mathrm{1}+\sqrt{{x}^{\mathrm{2}} +\mathrm{2}{x}+\mathrm{4}}\right){dx} \\ $$ Answered by mindispower last updated on 17/Jul/21 $$\Leftrightarrow\int{ln}\left(\mathrm{1}+\sqrt{{y}^{\mathrm{2}} +\mathrm{3}}\right){dy} \\ $$$$\left.\Leftrightarrow{yln}\left(\mathrm{1}+\sqrt{{y}^{\mathrm{2}} +\mathrm{3}}\right)\right)βˆ’\int\frac{\mathrm{2}{y}^{\mathrm{2}}…

Question-146886

Question Number 146886 by Khalmohmmad last updated on 16/Jul/21 Commented by EDWIN88 last updated on 16/Jul/21 $$!\mathrm{n}\:=\mathrm{n}!\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\frac{\left(βˆ’\mathrm{1}\right)^{\mathrm{k}} }{\mathrm{k}!} \\ $$$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{!\mathrm{n}}{\mathrm{n}!}\:=\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{n}!\:\underset{\mathrm{k}=\mathrm{0}} {\overset{\mathrm{n}}…