limit as x approaches 3 of ((x+1)/x)^x

解答

x \to 3 lim ((\frac{x + 1}{x})^{x})

\frac{64}{27}

十进制

2.37037 \dots

求解步骤

x \to 3 lim ((\frac{x + 1}{x})^{x})

代入值

x = 3

= (\frac{3 + 1}{3})^{3}

化简

(\frac{3 + 1}{3})^{3} : \frac{64}{27}

= \frac{64}{27}

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