Question Number 141965 by gsk2684 last updated on 25/May/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{x}^{{n}} \mathrm{sin}\:^{{n}} {x}}{{x}^{{n}} −\mathrm{sin}\:^{{n}} {x}}\:{is}\:{non}-{zero}\:{finite},\: \\ $$$${then}\:{find}\:{n}? \\ $$ Commented by gsk2684 last updated on…
Question Number 141964 by gsk2684 last updated on 25/May/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{sin}\:{x}\right)^{\frac{\mathrm{1}}{{x}}} =? \\ $$ Commented by gsk2684 last updated on 25/May/21 $${solution}\:{please} \\ $$ Answered…
Question Number 76431 by john santu last updated on 27/Dec/19 $${how}\:{to}\:{find}\:{x}^{\mathrm{2048}} \:+\:{x}^{−\mathrm{2048}} \\ $$$${if}\:\:{x}+{x}^{−\mathrm{1}} =\frac{\sqrt{\mathrm{5}}+\mathrm{1}}{\mathrm{2}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 76428 by TawaTawa last updated on 27/Dec/19 Answered by john santu last updated on 27/Dec/19 $$\left(\mathrm{5}\right){ratio}\:=\:\frac{{a}_{\mathrm{2}} }{{a}_{\mathrm{1}} }.\:\rightarrow{a}_{\mathrm{2}} =\mathrm{10}.{a}_{\mathrm{1}} =\mathrm{10}. \\ $$$${now}\:{a}_{{n}\:} ={a}_{\mathrm{1}}…
Question Number 141966 by gsk2684 last updated on 25/May/21 $${find}\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{log}\:{x}^{{n}} −\left[{x}\right]}{\left[{x}\right]},\:{n}\in{N}\:{where}\: \\ $$$$\left[{x}\right]\:{represents}\:{greatest}\:{integer}\:{less}\:{than}\:{or}\:{equal}\:{to}\:{x}. \\ $$ Commented by gsk2684 last updated on 25/May/21 $${solution}\:{please} \\…
Question Number 141961 by iloveisrael last updated on 25/May/21 $$\:\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{50}} −\mathrm{8}{x}+\mathrm{7}}{{x}^{\mathrm{20}} +\mathrm{5}{x}−\mathrm{6}}\:=? \\ $$ Answered by iloveisrael last updated on 25/May/21 Answered by Panacea…
Question Number 76424 by john santu last updated on 27/Dec/19 $${how}\:{to}\:{calculate}\:\int\sqrt{\frac{{x}}{\:\sqrt{\frac{{x}}{\:\sqrt{\frac{{x}}{\:\sqrt{…}}}}}}}\:\:{dx}\:? \\ $$ Commented by john santu last updated on 27/Dec/19 $${this}\:{the}\:{crazy}\:{integration} \\ $$ Answered…
Question Number 10889 by geovane10math last updated on 28/Feb/17 $$\mathrm{The}\:\mathrm{solution}\:\mathrm{of}\:\mathrm{the}\:\mathrm{Schanuel}'\mathrm{s}\:\mathrm{Conjecture} \\ $$$$\mathrm{will}\:\mathrm{to}\:\mathrm{decide}\:\mathrm{if}\:\gamma\:\mathrm{is}\:\mathrm{transcendental}\:\mathrm{or}\:\mathrm{not}? \\ $$$$\mathrm{Tell}\:\mathrm{me}\:\mathrm{all}\:\mathrm{consequences}\:\mathrm{of}\:\mathrm{the}\:\mathrm{conjecture}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 10887 by Saham last updated on 28/Feb/17 $$\mathrm{Suppose}\:\mathrm{that}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\mathrm{x}\:+\:\mathrm{1}}\:\mathrm{and}\:\mathrm{g}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{4}}{\mathrm{x}\:+\:\mathrm{1}}\:. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{the}\:\mathrm{composition}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{f}\:\mathrm{o}\:\mathrm{g}\:\:\:\left(\mathrm{b}\right)\:\:\mathrm{f}\:\mathrm{o}\:\mathrm{f} \\ $$ Answered by geovane10math last updated on 28/Feb/17 $$\mathrm{I}\:\mathrm{wrote}\:\mathrm{an}\:\mathrm{answer} \\…
Question Number 10880 by Saham last updated on 28/Feb/17 $$\left.\int\:\left(\mathrm{x}\:+\:\mathrm{3}\right)\sqrt{\left(\mathrm{x}\:+\:\mathrm{4}\right.}\right)\:\mathrm{dx}\: \\ $$ Answered by geovane10math last updated on 28/Feb/17 $$\int\left({x}\:+\:\mathrm{3}\right)\sqrt{{x}\:+\:\mathrm{4}}\:\mathrm{dx}\:=\:\int{x}\sqrt{{x}\:+\:\mathrm{4}}\:\mathrm{dx}\:+\:\int\mathrm{3}\sqrt{{x}\:+\:\mathrm{4}}\:\mathrm{dx} \\ $$$$\mathrm{First}\:\mathrm{integral}: \\ $$$$\int{x}\sqrt{{x}\:+\:\mathrm{4}}\:\mathrm{dx}\:= \\…