Calculate this limit:
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Originally Posted by dhiab Calculate this limit: Are you allowed to use l'Hopital's Rule? NB: This limit will only be valid if it's a right hand limit: .
Let y = x^x. Then ln(y) = x*ln(x) = ln(x)/(1/x). You can apply l'Hospital's Rule to this, and get the limit, as x tends to zero from the right, of ln(y). Then raise this value as a power on e, to get the limit of y.
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