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

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

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

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

Does not exist

Solution steps

x \to 0 lim (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}) = 1

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

Does not exist

= Does not exist

\frac{1}{2} x^{2} 16 - x^{2}

y^{^{''}} - 2 y^{^{'}} + 3 y = 6 sin (3 x) - 6 cos (3 x)

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

\int x^{2} - 3 x + 7 d x

\frac{2}{3} x^{6}

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