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人気のある微分積分 >

limit as x approaches 0 of (1-x/2)^{5/x}

解

x \to 0 lim ((1 - \frac{x}{2})^{\frac{5}{x}})

解

\frac{1}{e ^{\frac{5}{2}}}

+1

十進法表記

0.08208 \dots

解答ステップ

x \to 0 lim ((1 - \frac{x}{2})^{\frac{5}{x}})

指数の規則を適用する

= x \to 0 lim (e^{\frac{5}{x} l n (1 - \frac{x}{2})})

連鎖法則の制限を適用する:

\frac{1}{e ^{\frac{5}{2}}}

= \frac{1}{e ^{\frac{5}{2}}}

グラフ

人気の例

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