What is the limit as x approaches 0+of [ln(x)]^x ?

The limit as x approaches 0+of [ln(x)]^x is Does not exist

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limit as x approaches 0+of [ln(x)]^x

x \to 0 + lim ([ln (x)]^{x})

Does not exist

Solution steps

x \to 0 + lim ([ln (x)]^{x})

[ln (x)]^{x}

undefined for

x

approaching

0

from the right

= Does not exist

x \to \infty + lim (x b)

x \to 3 - lim (3)

x \to 4 lim (\frac{1}{x - 2})

x \to 0 lim (e^{a r c t a n (x)})

x \to 0 - lim (\frac{4 x}{2 x ^{2} + e})

What is the limit as x approaches 0+of [ln(x)]^x ?
The limit as x approaches 0+of [ln(x)]^x is Does not exist