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

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

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

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

Does not exist

Solution steps

x \to 0 lim (x^{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 (x^{x^{x}}) = 0

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

Does not exist

= Does not exist

x \to \infty lim (\frac{- 7 x ^{2} - 1}{x ^{2} + x 4 + 7 x ^{2} + 1})

x \to - 1 lim (\frac{x}{x ^{3} + 4 x})

x \to 0 lim (x ln (6 x))

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

x \to 9 lim (x^{2} - 81)

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