What is the limit as x approaches 0 of ln((1/x)^x) ?

The limit as x approaches 0 of ln((1/x)^x) is Does not exist

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limit as x approaches 0 of ln((1/x)^x)

x \to 0 lim (ln ((\frac{1}{x})^{x}))

Does not exist

Solution steps

x \to 0 lim (ln ((\frac{1}{x})^{x}))

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (ln ((\frac{1}{x})^{x})) = 0

x \to 0 - lim (ln ((\frac{1}{x})^{x})) =

Does not exist

= Does not exist

\int (\frac{ln ( x )}{x ^{3}}) d x

\frac{d}{d x} (\frac{10}{( x - 2 ) ^{3}})

\frac{\partial}{\partial y} (4 x^{2} + 6 x y + y^{2})

\frac{\partial}{\partial x} (6 x + 2 y)

\frac{d}{d z} (\frac{z e ^{i z}}{( z - 2 ) ( z + 1 )})

What is the limit as x approaches 0 of ln((1/x)^x) ?
The limit as x approaches 0 of ln((1/x)^x) is Does not exist