Category: Limits

Question Number 209116 by alcohol last updated on 02/Jul/24 Answered by A5T last updated on 02/Jul/24 $$WLOG,leta⩾b⩾c$$$$1=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}⩽\frac{3}{c}\Rightarrow c⩽3$$$$whenc=3;\frac{2}{3}=\frac{1}{a}+\frac{1}{b}⩽\frac{2}{b}\Rightarrow b⩽3$$$$b=3\Rightarrow a=3;b=2\Rightarrow a=6\to \leftarrow$$$$\Rightarrow\left({a},{b},{c}\right)=\left(\mathrm{3},\mathrm{3},\mathrm{3}\right)…

Question Number 208482 by efronzo1 last updated on 17/Jun/24 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 207816 by efronzo1 last updated on 27/May/24 $$\underset{x\to 2}{\lim }\frac{\sqrt[3]{{\mathrm{x}}^2+4}-\sqrt{{\mathrm{x}}^3-4}}{\sqrt{{\mathrm{x}}^2-4}-\sqrt[3]{\mathrm{x}-2}}$$ Commented by Frix last updated on 27/May/24 $$\mathrm{I}\:\mathrm{think}\:\mathrm{it}'\mathrm{s}\:\mathrm{0} \…

Question Number 207339 by Ghisom last updated on 12/May/24 $$\underset{x\to \mathrm{\infty }}{\lim }\frac{{(x+a)}^{1/x}-x^{1/x}}{{(x+b)}^{1/x}-x^{1/x}}=?$$ Answered by sniper237 last updated on 12/May/24 $$\:\frac{{a}}{{b}}\:\:\:{cause}\:\:\overset{{X}=\mathrm{1}/{x}}…

Question Number 206934 by universe last updated on 01/May/24 Commented by Frix last updated on 01/May/24 $${\mathrm{I}}^{\prime }\mathrm{m}\mathrm{not}\mathrm{sure},\mathrm{it}\mathrm{might}\mathrm{be}\sqrt[\mathrm{e}]{\mathrm{e}}$$ Commented by universe last updated on…