Question Number 106388 by bemath last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{1}−\mathrm{cos}\:\mathrm{4x}\:\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}−\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}}{\mathrm{x}^{\mathrm{4}} } \\ $$ Answered by bemath last updated on 05/Aug/20 Answered by…
Question Number 106386 by Ar Brandon last updated on 04/Aug/20 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{formula}\:\mathrm{to}\:\mathrm{calculate}; \\ $$$$\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\prod}}\mathrm{U}_{\mathrm{k}} \:\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 106313 by bemath last updated on 04/Aug/20 $$\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{\mathrm{x}\mid\mathrm{x}−\mathrm{1}\mid}{\mathrm{x}^{\mathrm{2}} −\mathrm{1}} \\ $$ Answered by Dwaipayan Shikari last updated on 04/Aug/20 $${first}\:{case} \\ $$$$\underset{{x}\rightarrow\mathrm{1}^{+}…
Question Number 40759 by math khazana by abdo last updated on 27/Jul/18 $${calculate}\:{lim}_{{n}\rightarrow+\infty} \:\:\:\:\:\frac{\mathrm{1}−{e}^{−{nx}^{\mathrm{2}} } }{{x}^{\mathrm{2}} {sin}\left(\frac{\pi}{{n}}\right)} \\ $$ Commented by math khazana by abdo…
Question Number 40709 by math khazana by abdo last updated on 26/Jul/18 $${calculate}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\:\:\frac{{cos}\left({x}−{sinx}\right)−\mathrm{1}}{{x}^{\mathrm{2}} \:} \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 106240 by pticantor last updated on 03/Aug/20 $$ \\ $$$$ \\ $$$$ \\ $$$$\boldsymbol{{li}}\underset{\boldsymbol{{n}}\rightarrow+\infty} {\boldsymbol{{m}}}\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\left(−\mathrm{1}\right)^{\boldsymbol{{k}}+\mathrm{1}} }{\boldsymbol{{k}}}=???? \\ $$ Answered by Dwaipayan…
Question Number 106237 by Study last updated on 03/Aug/20 Answered by Dwaipayan Shikari last updated on 03/Aug/20 $$\frac{\mathrm{1}}{{n}}\underset{{n}\rightarrow\infty} {\mathrm{lim}}\left({e}^{\frac{\mathrm{1}}{{n}}} +{e}^{\frac{\mathrm{2}}{{n}}} +….+{e}^{\frac{{n}}{{n}}} \right) \\ $$$$\frac{\mathrm{1}}{{n}}\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{{r}=\mathrm{1}}…
Question Number 106217 by bobhans last updated on 03/Aug/20 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\:\frac{\mathrm{sin}\:\mathrm{x}−\mathrm{x}\:\mathrm{cos}\:\mathrm{x}}{\mathrm{x}^{\mathrm{2}} }\:\mathrm{and}\:\mathrm{f}\left(\mathrm{0}\right)=\mathrm{0}\:\mathrm{when}\:\mathrm{x} \\ $$$$=\:\mathrm{0}\:,\mathrm{what}\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\underset{\mathrm{t}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\underset{\mathrm{0}} {\overset{\mathrm{t}} {\int}}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{dx}}{\mathrm{t}^{\mathrm{2}} } \\ $$$$ \\ $$ Answered by john santu…
Question Number 40667 by Tawa1 last updated on 25/Jul/18 $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{g}\left(\mathrm{x}\right)\:\:\mathrm{must}\:\mathrm{have},\:\mathrm{if}\:\mathrm{g}\:\mathrm{complies}\:\mathrm{the}\:\mathrm{statement}\: \\ $$$$\mathrm{about}\:\mathrm{limit}.\:\mathrm{Suppose}\:\:\:\underset{{x}\rightarrow\:−\mathrm{4}} {\mathrm{lim}}\:\:\left[\mathrm{x}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\mathrm{g}\left(\mathrm{x}\right)\right]\:\:=\:\:\mathrm{2} \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 26/Jul/18 $${mobile}\:{handset}\:{does}\:{not}\:{show}\:{a}\:{few}\:…
Question Number 106173 by john santu last updated on 03/Aug/20 $$\underset{{x}\rightarrow\pi/\mathrm{2}} {\mathrm{lim}}\left(\frac{\mathrm{1}−\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{2}} \mathrm{cot}\:^{\mathrm{2}} \mathrm{x}}\right)\:? \\ $$ Answered by bemath last updated on 03/Aug/20 $$\mathrm{set}\:\mathrm{x}\:=\:\frac{\pi}{\mathrm{2}}+\flat\:\rightarrow\frac{\mathrm{4}}{\pi^{\mathrm{2}} }×\underset{\flat\rightarrow\mathrm{0}}…