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

解答

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

1

求解步骤

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

使用指数运算法则

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

使用极限链式法则:

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