Question Number 70360 by Hassen_Timol last updated on 03/Oct/19 $$\underset{{n}\rightarrow+\infty} {\mathrm{l}im}\:\:\:\:\frac{\sqrt{{n}\:+\:\mathrm{1}\:}−\:{n}}{\:\sqrt{{n}\:+\:\mathrm{1}}\:+\:{n}}\:\:=\:\:? \\ $$ Answered by mind is power last updated on 03/Oct/19 $$\frac{\sqrt{{n}+\mathrm{1}}−{n}}{\:\sqrt{{n}+\mathrm{1}}+{n}}=\frac{{n}\left(\sqrt{\frac{{n}+\mathrm{1}}{{n}^{\mathrm{2}} }}−\mathrm{1}\right)}{{n}\left(\sqrt{\frac{{n}+\mathrm{1}}{{n}^{\mathrm{2}} }}+\mathrm{1}\right)}=\frac{\sqrt{\frac{\mathrm{1}}{{n}}+\frac{\mathrm{1}}{{n}^{\mathrm{2}}…
Question Number 135887 by mohammad17 last updated on 16/Mar/21 $${Give}\:{an}\:{example}\:{of}\:{a}\:{non}−{periodic}\: \\ $$$${clique} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 135886 by mohammad17 last updated on 16/Mar/21 $${prove}\:{that}\:{any}\:{group}\:{of}\:{rank}=\mathrm{3}\:{must} \\ $$$${be}\:{periodek}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 4809 by 314159 last updated on 15/Mar/16 $${Show}\:{that}\:\frac{{x}^{\mathrm{2}} +{a}^{\mathrm{2}} }{{x}^{\mathrm{2}} −{a}^{\mathrm{2}} }\:>\:\frac{{x}+{a}}{{x}−{a}}. \\ $$ Answered by Yozzii last updated on 15/Mar/16 $${Let}\:\phi=\frac{{x}^{\mathrm{2}} +{a}^{\mathrm{2}}…
Question Number 4793 by madscientist last updated on 11/Mar/16 $${please}\:{explain}. \\ $$$${V}\left({x}\right)=−\int{F}\left({x}\right){dx} \\ $$$$ \\ $$$$ \\ $$ Commented by FilupSmith last updated on 11/Mar/16…
Question Number 135851 by Ñï= last updated on 16/Mar/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} \left(\mathrm{cos}\:^{\mathrm{2}} {x}\right){ln}\left(\mathrm{1}+\mathrm{tan}\:^{\mathrm{4}} {x}\right){dx}=? \\ $$ Answered by mathmax by abdo last updated on 16/Mar/21…
Question Number 4773 by madscientist last updated on 08/Mar/16 $${lim}_{{x}\rightarrow\mathrm{0}\:} \:\frac{{sin}\left({x}\right)}{{x}}=\:\mathrm{1} \\ $$$${how}\:{is}\:{this}\:{so}? \\ $$$$ \\ $$ Commented by Yozzii last updated on 13/Mar/16 $${For}\:{x}\:{near}\:{zero},\:{the}\:{function}\:{sinx}…
Question Number 135841 by abdurehime last updated on 17/Mar/21 Answered by dhgt last updated on 04/May/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 70298 by naka3546 last updated on 03/Oct/19 Answered by mr W last updated on 03/Oct/19 Commented by mr W last updated on 03/Oct/19…
Question Number 135838 by abdurehime last updated on 16/Mar/21 Answered by liberty last updated on 16/Mar/21 $${f}\left({x}\right)=\:\frac{{x}}{{x}^{\mathrm{2}} +{k}}\:\Rightarrow\mathrm{ln}\:{y}\:=\:\mathrm{ln}\:{x}−\mathrm{ln}\:\left({x}^{\mathrm{2}} +{k}\right) \\ $$$$\:\frac{{y}'}{{y}}\:=\:\frac{\mathrm{1}}{{x}}−\frac{\mathrm{2}{x}}{{x}^{\mathrm{2}} +{k}} \\ $$$$\frac{{y}'}{{y}}\:=\:\frac{{k}−{x}^{\mathrm{2}} }{{x}\left({x}^{\mathrm{2}}…