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 e^{0Does not exist}

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

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

e^{0 Does not exist}

Solution steps

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

Apply exponent rules

= x \to 0 - lim (e^{x^{2} l n (x^{2})})

Apply the Limit Chain Rule:

e^{0 Does not exist}

= e^{0 Does not exist}

x \to 12 lim (10 - 3 x)

x \to 0 - lim (2 + e^{\frac{1}{x}})

x \to 2 lim (1776)

x \to 0 lim (\frac{4 x}{x ^{2} + x})

x \to - 4 lim (x^{2} + 9)

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 e^{0Does not exist}