What is the limit as x approaches 0+of x^{1/x} ?

The limit as x approaches 0+of x^{1/x} is 0

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limit as x approaches 0+of x^{1/x}

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

0

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{\frac{1}{x} l n (x)})

Apply the Limit Chain Rule:

0

= 0

{\frac{1}{S ^{2} + 3 S}}

\int (3 x^{2} + 2 x + 1) d x

\frac{\partial}{\partial z} (2 x z)

\int \frac{e ^{\frac{1}{x}}}{x ^{2}} d x

\frac{\partial}{\partial x} (3 x^{2} + 2 y^{2})

What is the limit as x approaches 0+of x^{1/x} ?
The limit as x approaches 0+of x^{1/x} is 0