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人気のある微分積分 >

limit as x approaches 0-of (1+4x)^{3/x}

解

x \to 0 - lim ((1 + 4 x)^{\frac{3}{x}})

解

e^{12}

+1

十進法表記

162754.79141 \dots

解答ステップ

x \to 0 - lim ((1 + 4 x)^{\frac{3}{x}})

指数の規則を適用する

= x \to 0 - lim (e^{\frac{3}{x} l n (1 + 4 x)})

連鎖法則の制限を適用する:

e^{12}

= e^{12}

グラフ

人気の例

limit as x approaches 3 of x^3+5x-1

x \to 3 lim (x^{3} + 5 x - 1)

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