Solving an Indeterminate Limit with L'Hospital's Rule

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Homework Help Overview

The discussion revolves around finding the limit of the expression (lnx)^3 / x as x approaches infinity, which falls under the topic of limits in calculus, specifically involving L'Hospital's Rule due to the indeterminate form encountered.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply L'Hospital's Rule but encounters repeated indeterminate forms. Some participants suggest that multiple applications of L'Hospital's Rule may be necessary to resolve the limit.

Discussion Status

The discussion is ongoing, with participants sharing their experiences and observations regarding the complexity of the limit. There is acknowledgment of the need for repeated applications of L'Hospital's Rule, but no consensus on the specific steps or outcomes has been reached.

Contextual Notes

Participants note the potential difficulty and repetitiveness of the process involved in applying L'Hospital's Rule multiple times to this limit problem.

student85
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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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