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Square1
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Homework Statement
*indeterminate* oops
the limit of x^x as x goes to zero from the right
Homework Equations
Going to be using L'hopital, and related algebraic manipulations to convert to indefinite form 0/0, infinity/infinity
The Attempt at a Solution
My understanding is that this limit produces initially by plugging in 0 the indefinite exponential form 0^0, and so I have the choice to either:
a) take natural log, bring down the x...
b) write in exponential form of 'e'
I always use the log method bc I don't really get truly what's going on in method b. When I use 'a', I end up with the form -x, which gives me a limit of 0. When 'b' is used, the textbook says the limit is 1, because 'e'^xlnx = 'e'^0 = 1. This is in Stewart's single var. calc text as an exponential indefinite form example.
Thanks.
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