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oksanaekjord Group TitleBest ResponseYou've already chosen the best response.0
getting 0
 2 years ago

klimenkov Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x\rightarrow\infty}(\ln x)^{\frac 1x}=1\]
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
start by taking the log get \[\frac{1}{x}\ln(\ln(x))=\frac{\ln(\ln(x))}{x}\]
 2 years ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.2
now that limit is pretty clearly 0, since log grows much slower than \(x\) and the log of the log grows amazingly slowly since that limit is 0, and it is the limit of the log, you get \(e^0=1\) and the limit of your original question
 2 years ago
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