What is the limit as x approaches 0 of (x^2)^{x^2} ?

The limit as x approaches 0 of (x^2)^{x^2} is diverges

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limit as x approaches 0 of (x^2)^{x^2}

x \to 0 lim ((x^{2})^{x^{2}})

diverges

Solution steps

x \to 0 lim ((x^{2})^{x^{2}})

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

then the limit does not exist

x \to 0 + lim ((x^{2})^{x^{2}}) = 1

x \to 0 - lim ((x^{2})^{x^{2}}) = e^{0 Does not exist}

= diverges

What is the limit as x approaches 0 of (x^2)^{x^2} ?
The limit as x approaches 0 of (x^2)^{x^2} is diverges