What is the limit as x approaches 0 of x^{ln(x)} ?

The limit as x approaches 0 of x^{ln(x)} is Does not exist

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limit as x approaches 0 of x^{ln(x)}

x \to 0 lim (x^{l n (x)})

Does not exist

Solution steps

x \to 0 lim (x^{l n (x)})

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

then the limit does not exist

x \to 0 + lim (x^{l n (x)}) = \infty

x \to 0 - lim (x^{l n (x)}) =

Does not exist

= Does not exist

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