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

解答

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

1

求解步骤

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

使用指数运算法则

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

使用极限链式法则:

1

= 1

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