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

The limit as x approaches 0 of x^{x^2} is Does not exist

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

y^{^{'}} + 0.15 y = 1

(2 x^{2} + y) d x + (x^{2} y - x) d y = 0

\frac{d y}{d x} = \frac{9 x}{5 y}

\int \frac{1}{2 x ^{2} + 8} d x

x \to 0 - lim (\frac{1}{x} + \frac{1}{∣ x ∣})

What is the limit as x approaches 0 of x^{x^2} ?
The limit as x approaches 0 of x^{x^2} is Does not exist