Question Number 106505 by Ar Brandon last updated on 05/Aug/20 $$\mathrm{Show}\:\mathrm{that}\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\left[\frac{\mathrm{n}!}{\left(\mathrm{n}−\mathrm{x}\right)!\mathrm{n}^{\mathrm{x}} }\right]=\mathrm{1} \\ $$ Answered by Dwaipayan Shikari last updated on 05/Aug/20 $$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{{n}\left({n}−\mathrm{1}\right)….{x}\:{times}×\left({n}−{x}\right)!}{\left({n}−{x}\right)!{n}^{{x}}…
Question Number 106447 by Muhsang S L last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2}{x}\:+\:\mathrm{tan}\:\mathrm{4}{x}}{\:\sqrt{\mathrm{1}\:−\:\mathrm{cos}\:\mathrm{4}{x}\:\mathrm{cos}\:\mathrm{6}{x}}}\:=\:? \\ $$ Answered by john santu last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{2x}+\mathrm{4x}−\frac{\mathrm{64x}^{\mathrm{3}}…
Question Number 106435 by Study last updated on 05/Aug/20 $${li}\underset{{x}\rightarrow\mathrm{2}} {{m}}\frac{{ln}\left(\mathrm{2}{x}+\mathrm{10}\right)}{{x}−\mathrm{2}}=?? \\ $$ Commented by Dwaipayan Shikari last updated on 05/Aug/20 $${limit}\:{doesn}'{t}\:{exist} \\ $$ Commented…
Question Number 106410 by bemath last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{cos}\:\mathrm{2x}.\left(\mathrm{1}+\mathrm{sin}\:^{\mathrm{2}} \mathrm{x}\right)+\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2}}{\mathrm{x}^{\mathrm{2}} } \\ $$ Answered by john santu last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}}…
Question Number 106398 by bobhans last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\mathrm{2x}+\mathrm{p}\:\mathrm{sin}\:\mathrm{x}}{\mathrm{x}^{\mathrm{3}} }\:=\:\mathrm{q}\:.\:\mathrm{where}\:\mathrm{q}\:\mathrm{finite}\: \\ $$ Answered by bemath last updated on 05/Aug/20 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left(\mathrm{2x}−\frac{\mathrm{8x}^{\mathrm{3}} }{\mathrm{6}}\right)+\mathrm{p}\left(\mathrm{x}−\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{6}}\right)}{\mathrm{x}^{\mathrm{3}}…
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…