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suju101
 3 years ago
lim x>infinity (lnx)^(1/x)
suju101
 3 years ago
lim x>infinity (lnx)^(1/x)

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JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.2Let f(x) = (ln x)^(1/x) What's the limit of ln(f(x)) ?

suju101
 3 years ago
Best ResponseYou've already chosen the best response.0i didn't get your question..

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.2I'm suggesting a strategy. Instead of trying to find the limit of the function directly, try and find the limit of the log of the function g(x) = ln( f(x) )

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.0James can you always do that, or only at times like l'hospital?

JamesJ
 3 years ago
Best ResponseYou've already chosen the best response.2provided the limit of ln( f(x) ) exists, you can do it. That is just like l'Hopital's rule. You need the limit of the new expression to exist and then it can be used to write down the limit of the original
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