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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to - \infty lim (- 6)

x \to 3 lim (3 x^{2} + 2 x + 1)

x \to \frac{π}{6} lim (cos (x))

x \to - 2 lim (\frac{5}{( x + 2 ) ^{2}})

x \to 2 lim (3 x^{2} - 5 x - 2)

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