Question Number 128197 by BHOOPENDRA last updated on 05/Jan/21 Commented by BHOOPENDRA last updated on 05/Jan/21 $${help}\:{me}\:{out}\:{this}? \\ $$ Answered by Dwaipayan Shikari last updated…
Question Number 128194 by Algoritm last updated on 05/Jan/21 Commented by MJS_new last updated on 05/Jan/21 $$\mathrm{it}'\mathrm{s}\:\mathrm{possible}\:\mathrm{by}\:\mathrm{using} \\ $$$$\mathrm{cos}\:{x}\:=\frac{\mathrm{e}^{\mathrm{i}{x}} +\mathrm{e}^{−\mathrm{i}{x}} }{\mathrm{2}}=\frac{\mathrm{e}^{\mathrm{2i}{x}} +\mathrm{1}}{\mathrm{2e}^{\mathrm{i}{x}} }\:\Rightarrow \\ $$$$\mathrm{8}\int\frac{{x}\mathrm{e}^{\mathrm{3i}{x}}…
Question Number 62659 by mathmax by abdo last updated on 24/Jun/19 $${calculate}\:\:{lim}_{{n}\rightarrow+\infty} \:\:\:\:\frac{\left({n}!\right)^{{n}} }{{n}^{{n}!} } \\ $$ Commented by abdo mathsup 649 cc last updated…
Question Number 128192 by Algoritm last updated on 05/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 62657 by mathmax by abdo last updated on 24/Jun/19 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\:\:\frac{{ln}\left(\mathrm{1}+{tan}\left(\mathrm{2}{x}\right)\right)−{ln}\left({cos}\left(\mathrm{3}{x}\right)\right)}{{x}^{\mathrm{3}} } \\ $$ Commented by mathmax by abdo last updated on 24/Jun/19…
Question Number 128193 by Algoritm last updated on 05/Jan/21 Answered by mr W last updated on 05/Jan/21 Commented by Algoritm last updated on 05/Jan/21 $$?=\:\:…
Question Number 62656 by mathmax by abdo last updated on 24/Jun/19 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\:\:\frac{\left({n}+\mathrm{1}\right)^{{n}} }{{n}^{{n}+\mathrm{1}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 62653 by aliesam last updated on 23/Jun/19 $$\int\mathrm{x}\left(\mathrm{arctan}\left(\mathrm{x}\right)\right)^{\mathrm{2}} \:\mathrm{dx} \\ $$$$ \\ $$$$\int\frac{\mathrm{x}\:\mathrm{e}^{\mathrm{arctan}\left(\mathrm{x}\right)} }{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\frac{\mathrm{3}}{\mathrm{2}}} }\:\mathrm{dx} \\ $$$$ \\ $$$$\int\frac{\mathrm{arcsin}\left(\mathrm{x}\right)}{\:\sqrt{\mathrm{1}+\mathrm{x}}}\:\mathrm{dx} \\ $$ Commented…
Question Number 128187 by john_santu last updated on 05/Jan/21 $$\:\left(\mathrm{1}\right)\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{x}}{\:\sqrt{\mathrm{1}−\mathrm{cos}\:{x}}}\:=?\: \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{{e}^{\alpha{x}} −{e}^{\beta{x}} }{\mathrm{sin}\:\alpha{x}−\mathrm{sin}\:\beta{x}}=? \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 128185 by liberty last updated on 05/Jan/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{x}+\mathrm{3}}{\mathrm{x}−\mathrm{1}}\right)^{\mathrm{x}+\mathrm{3}} \:=?\: \\ $$ Answered by john_santu last updated on 05/Jan/21 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{{x}−\mathrm{1}+\mathrm{4}}{{x}−\mathrm{1}}\right)^{{x}+\mathrm{3}} =\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\mathrm{1}+\frac{\mathrm{4}}{{x}−\mathrm{1}}\right)^{{x}+\mathrm{3}}…