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人気のある微分積分 >

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

解

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

解

\frac{64}{27}

+1

十進法表記

2.37037 \dots

解答ステップ

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

値を挿入する

x = 3

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

簡素化

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

= \frac{64}{27}

グラフ

人気の例

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

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

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x \to 3 lim (\frac{ln ^{2} ( x )}{x})

limit as x approaches 3 of ((x-3/x)^3)/2

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limit as x approaches 3 of (x-13x)/x

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