What is the limit as x approaches 0+of x^{x^3} ?

The limit as x approaches 0+of x^{x^3} is 1

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limit as x approaches 0+of x^{x^3}

x \to 0 + lim (x^{x^{3}})

1

Solution steps

x \to 0 + lim (x^{x^{3}})

Apply exponent rules

= x \to 0 + lim (e^{x^{3} l n (x)})

Apply the Limit Chain Rule:

1

= 1

n = 1 \sum \infty \frac{( 1 ) ^{n}}{n}

n = 0 \sum \infty \frac{17}{2}

\frac{\partial}{\partial y} (e^{x y z^{2}} y z^{2})

\frac{d}{d x} ((2 x + 1)^{4} + 8 x (2 x + 1)^{3})

\int \frac{28 e ^{4 x}}{6 + e ^{4 x}} d x

What is the limit as x approaches 0+of x^{x^3} ?
The limit as x approaches 0+of x^{x^3} is 1