limit as x approaches 0 of (e^{-9x}-1)/x

解答

x \to 0 lim (\frac{e ^{- 9 x} - 1}{x})

- 9

求解步骤

x \to 0 lim (\frac{e ^{- 9 x} - 1}{x})

使用洛必达法则

= x \to 0 lim (\frac{- 9 e ^{- 9 x}}{1})

代入值

x = 0

= \frac{- 9 e ^{- 9 \cdot 0}}{1}

化简

= - 9

x \to 3 lim (5)

\int_{- 2}^{3} ∣ x + 1 ∣ d x

y^{^{'}} = \frac{5 x ^{2} + y ^{2}}{x y}

\int_{1}^{2} t^{2} t^{3} + 1 d t

\int e^{4 x} (4) d x