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

\frac{d}{d x} (\frac{1}{x} ln (e^{x} + x))

\frac{\partial}{\partial x} (sin (8 x) cos (2 y))

\int_{1}^{4} x \cdot ln (x) d x

\frac{d}{d x} (\frac{x ^{3}}{3} + \frac{8}{3} - x^{2} + 4)

y^{^{''}} - 4 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 0

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