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^{\frac{x}{2}})

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

x \to \frac{π}{2} lim (2 sin (x))

x \to 0 + lim ((x - 5) e^{\frac{1}{x}})

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

x \to - 1 lim (2^{1 + l n ∣ x ∣})

x \to 0 lim (cos (x + 1 + 6^{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