Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 113357 by mohammad17 last updated on 12/Sep/20

$${{lim}_{x\to \mathrm{\infty }}\left(ln\left(ln\left(lnx\right)\right)\right))}^{\frac{1}{x}}$$

Commented by Aziztisffola last updated on 12/Sep/20

$${{lim}_{x\to \mathrm{\infty }}\left(ln\left(ln\left(lnx\right)\right)\right))}^{\frac{1}{x}}=1$$

Commented by mohammad17 last updated on 12/Sep/20

$$canyougivemethedetailspleasesir$$

Commented by Aziztisffola last updated on 12/Sep/20

$${\mathrm{L}=\mathrm{li}\underset{x\to \mathrm{\infty }}{\mathrm{m}}\left(ln\left(ln\left(lnx\right)\right)\right))}^{\frac{1}{x}}$$$$\mathrm{lnL}=\underset{x\to \mathrm{\infty }}{\lim }\frac{ln\left(ln\left(lnx\right)\right))}{x}=0$$$$\mathrm{L}={\mathrm{e}}^0\Rightarrow \mathrm{L}=1$$

Commented by mohammad17 last updated on 12/Sep/20

$$helpmesir$$

Commented by mohammad17 last updated on 12/Sep/20

$$$$$${lim}_{x\to \mathrm{\infty }}\left(\frac{\sqrt{x}}{log\sqrt{x}}\right)$$

Commented by mohammad17 last updated on 12/Sep/20

$$helpmeplease$$

Commented by Aziztisffola last updated on 13/Sep/20

$$\mathrm{let}\mathrm{t}=\sqrt{\mathrm{x}}\Rightarrow \mathrm{x}\to \mathrm{\infty }\Rightarrow \mathrm{t}\to \mathrm{\infty }$$$$\underset{x\to \mathrm{\infty }}{\lim }\frac{\sqrt{x}}{\ln \left(x\right)}=\underset{t\to \mathrm{\infty }}{\lim }\frac{\mathrm{t}}{\ln \left(\mathrm{t}\right)}=\underset{\mathrm{t}\to \mathrm{\infty }}{\lim }\frac{1}{\frac{\ln \left(\mathrm{t}\right)}{\mathrm{t}}}=\mathrm{\infty }$$$$(\underset{\mathrm{t}\to \mathrm{\infty }}{\lim }\frac{\ln \left(\mathrm{t}\right)}{\mathrm{t}}=0)$$$$$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com