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Category: Algebra

Prove-that-lim-n-n-n-0-Where-1-5-2-x-is-the-floor-function-

Question Number 4911 by FilupSmith last updated on 21/Mar/16 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left(\emptyset^{{n}} −\lfloor\phi^{{n}} \rfloor\right)=\mathrm{0} \\ $$$$ \\ $$$$\mathrm{Where}:\:\:\:\:\:\:\:\phi\:=\frac{\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\lfloor{x}\rfloor\:\mathrm{is}\:\mathrm{the}\:\mathrm{floor}\:\mathrm{function} \\ $$ Commented by…

Solve-for-x-x-1-1-1-1-

Question Number 4862 by prakash jain last updated on 18/Mar/16 $$\mathrm{Solve}\:\mathrm{for}\:{x} \\ $$$${x}=\sqrt{.\mathrm{1}+\sqrt{.\mathrm{1}+\sqrt{.\mathrm{1}+\sqrt{.\mathrm{1}+…}}}} \\ $$ Answered by Yozzii last updated on 18/Mar/16 $${Let}\:{us}\:{look}\:{at}\:{the}\:{general}\:{case}\:{of} \\ $$$$\:\:\:\:\:{x}=\sqrt{{a}+\sqrt{{a}+\sqrt{{a}+\sqrt{{a}+\sqrt{{a}+…}}}}}…

Find-the-value-of-6-6-6-6-6-

Question Number 4825 by sanusihammed last updated on 16/Mar/16 $${Find}\:{the}\:{value}\:{of}\: \\ $$$$ \\ $$$$\sqrt{\mathrm{6}+\sqrt{\mathrm{6}+\sqrt{\mathrm{6}+\sqrt{\mathrm{6}+\sqrt{\mathrm{6}}}}}} \\ $$ Commented by prakash jain last updated on 16/Mar/16 $$\mathrm{Assuming}\:\mathrm{the}\:\mathrm{series}\:\mathrm{goes}\:\mathrm{infinitely}…

Can-you-please-mathematically-explain-how-some-infinities-can-be-bigger-than-others-Thank-you-

Question Number 4822 by FilupSmith last updated on 16/Mar/16 $$\mathrm{Can}\:\mathrm{you}\:\mathrm{please}\:\mathrm{mathematically}\:\mathrm{explain} \\ $$$$\mathrm{how}\:\mathrm{some}\:\mathrm{infinities}\:\mathrm{can}\:\mathrm{be}\:\mathrm{bigger}\:\mathrm{than} \\ $$$$\mathrm{others}?\:\mathrm{Thank}\:\mathrm{you}! \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com