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受欢迎的微积分 >

limit as x approaches 0 of (1-2x)^{(1/x)}

解答

x \to 0 lim ((1 - 2 x)^{(\frac{1}{x})})

解答

\frac{1}{e ^{2}}

+1

十进制

0.13533 \dots

求解步骤

x \to 0 lim ((1 - 2 x)^{\frac{1}{x}})

使用指数运算法则

= x \to 0 lim (e^{\frac{1}{x} l n (1 - 2 x)})

使用极限链式法则:

\frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

作图

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