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Please need help in computing limits

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Scholar
Karma Points: 200
Respect (93%):
Date Posted: 6/18/2008 2:57:45 PM  Status: Live
Please need help in computing limits
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Question Details:
Can someone please help me compute the limit of x to the power of x to the power of x as x approaches zero +. I apologize in advance that I don,t know how to type this in math language. Thanks in advance!!!
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Answers:

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Oracle
Karma Points: 13,341
Date Posted: 6/19/2008 4:15:30 AM  Status: Live
Asker's Rating: Lifesaver   
Response:

because (with l'Hopital)
sogazelle's Comment:
Thank you bernard. really awesome.

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Scholar
Karma Points: 200
Date Posted: 6/19/2008 3:08:31 PM  Status: Live
Asker's Rating: N/A-Posted by Person Asking Question   
Response:
Thank you. The question was x raised to the power of x, raised also to the power of x. so 3x total. I need to compute that limit as x approches 0+. Thank you again for your response....

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Oracle
Karma Points: 13,341
Date Posted: 6/20/2008 3:58:27 AM  Status: Live
Asker's Rating: Helpful   
Response:
I overlooked one x, but it does not matter that much because you need the result of
my first post anyway:

because the argument in the ln tends to one, which means that the ln tends to 0,
which means that we get .
sogazelle's Comment:
thank you soooo much.



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