Question Number 75694 by malwaan last updated on 15/Dec/19 $$\boldsymbol{{prove}}\:\boldsymbol{{that}}\: \\ $$$$\underset{\boldsymbol{{x}}\rightarrow\infty} {\boldsymbol{{lim}}}\:\boldsymbol{{x}}^{\frac{\mathrm{1}}{\boldsymbol{{x}}}} \:=\mathrm{1} \\ $$ Answered by vishalbhardwaj last updated on 15/Dec/19 $$\left({as}\:{x}\rightarrow\infty\:\mathrm{then}\:\frac{\mathrm{1}}{{x}}\:\rightarrow\:\mathrm{0}\right) \\…
Question Number 10159 by ridwan balatif last updated on 28/Jan/17 Commented by ridwan balatif last updated on 28/Jan/17 $$\mathrm{No}.\mathrm{39} \\ $$ Commented by ridwan balatif…
Question Number 10157 by ketto last updated on 27/Jan/17 $${the}\:{difference}\:{of}\:{two}\:{number}\:{is}\:\mathrm{3}. \\ $$$${if}\:{the}\:{sum}\:{of}\:{their}\:{reciprocal}\:{is}\: \\ $$$$\frac{\mathrm{7}}{\mathrm{10}}\:.\:{find}\:{the}\:{numbres} \\ $$ Answered by FilupSmith last updated on 28/Jan/17 $${a}−{b}=\mathrm{3}\:\:\:\:\Rightarrow\:\:\:\:{a}=\mathrm{3}+{b} \\…
Question Number 10155 by Tawakalitu ayo mi last updated on 27/Jan/17 $$\mathrm{solve}\:\mathrm{for}\:\mathrm{x} \\ $$$$\mathrm{sin}\left(\mathrm{x}\right)\:−\:\sqrt{\mathrm{3cos}\left(\mathrm{x}\right)}\:=\:\mathrm{1} \\ $$ Answered by mrW1 last updated on 28/Jan/17 $$\mathrm{sin}\:\left({x}\right)=\mathrm{1}+\sqrt{\mathrm{3cos}\:\left({x}\right)}\geqslant\mathrm{1} \\…
Question Number 10154 by Tawakalitu ayo mi last updated on 27/Jan/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first}\:\mathrm{term}\:\mathrm{of}\:\mathrm{sequence}\:\mathrm{is}\: \\ $$$$\mathrm{given}\:\mathrm{by}\:\:\mathrm{S}_{\mathrm{n}} \:=\:\mathrm{5n}^{\mathrm{2}} \:−\:\mathrm{2n}.\:\mathrm{A}\:\mathrm{sequence}\:\: \\ $$$$\mathrm{U}_{\mathrm{1}} ,\:\mathrm{U}_{\mathrm{2}} ,\:\mathrm{U}_{\mathrm{3}} \:….\:\mathrm{is}\:\mathrm{defined}\:\mathrm{by}\:\mathrm{U}_{\mathrm{t}} \:=\:\mathrm{S}_{\mathrm{t}} \:−\:\mathrm{S}_{\mathrm{t}\:−\:\mathrm{1}} . \\…
Question Number 141227 by ajfour last updated on 16/May/21 Commented by ajfour last updated on 16/May/21 $${The}\:{cubic}\:{curve}\:{is}\:{y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${Find}\:{radii}\:{R}\:{and}\:{s}\:{without} \\ $$$${having}\:{to}\:{find}\:\alpha,\:\beta,\:\gamma. \\ $$ Commented…
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Question Number 141221 by Engr_Jidda last updated on 16/May/21 Commented by mr W last updated on 16/May/21 $${no}\:{such}\:{k}\:{exists}. \\ $$ Commented by Engr_Jidda last updated…
Question Number 141220 by mathmax by abdo last updated on 16/May/21 $$\mathrm{calculate}\:\:\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{logx}}{\mathrm{1}+\mathrm{x}^{\mathrm{4}} }\:\mathrm{dx} \\ $$ Answered by Ar Brandon last updated on 16/May/21…
Question Number 75684 by mr W last updated on 15/Dec/19 Commented by mr W last updated on 15/Dec/19 $${if}\:{the}\:{side}\:{length}\:{of}\:{square}\:{is}\:\mathrm{1}. \\ $$$${find}\:{the}\:{radius}\:{of}\:{the}\:{small}\:{green} \\ $$$${circle}. \\ $$…