limit as x approaches 0 of (1+5x)^{6/x}

解答

x \to 0 lim ((1 + 5 x)^{\frac{6}{x}})

e^{30}

十进制

1.06865 E 13

求解步骤

x \to 0 lim ((1 + 5 x)^{\frac{6}{x}})

使用指数运算法则

= x \to 0 lim (e^{\frac{6}{x} l n (1 + 5 x)})

使用极限链式法则:

e^{30}

= e^{30}

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