limit as x approaches infinity of x^{-e}

解答

x \to \infty lim (x^{- e})

0

求解步骤

x \to \infty lim (x^{- e})

x \to a lim [f (x)]^{b} = [x \to a lim f (x)]^{b}

不定型除外

= (x \to \infty lim (x))^{- e}

运用一般极限法则:

x \to \infty lim (x) = \infty

= \infty^{- e}

运用无穷大属性:

\infty^{- c} = 0

= 0

t an g e n t f (x) = 2 + \frac{1}{x}, (2, 2.5)

\frac{\partial}{\partial x} (2 e^{x^{6} y})

\int_{0}^{5} \frac{4}{x ^{2}} d x

\frac{d}{d x} (e^{- x} + e^{x})

n = 4 \sum \infty \frac{1}{n ^{2} + n}