Solving an Indeterminate Limit with L'Hospital's Rule

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The limit in question is lim (lnx)^3 / x as x approaches infinity. Applying L'Hospital's Rule is necessary due to the indeterminate form. The solution requires multiple applications of L'Hospital's Rule, specifically four times, to resolve the indeterminate nature of the limit. The process can become complex and repetitive, but it ultimately leads to a definitive answer. Understanding the repeated application of L'Hospital's Rule is key to solving this limit.
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Homework Statement


find the limit:

lim (lnx)^3 / x
x-->(infinity)


Homework Equations


It's a L´hospital homework so that should be what I need to use.


The Attempt at a Solution


However, when using L'Hospital, I get nowhere since I keep getting indeterminations.
Help is appreciated.
 
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You'll have to repeatedly use L'Hopital until you get to a non-indeterminant. Takes 4 times, I think.
 
damn, it gets pretty nasty...
Thanks.
 
Nasty how? It's just a little repetitious.
 

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