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人気のある微分積分 >

limit as x approaches infinity of (ln(3x))/x

解

x \to \infty lim (\frac{ln ( 3 x )}{x})

解

0

解答ステップ

x \to \infty lim (\frac{ln ( 3 x )}{x})

ロピタルの定理を適用する

= x \to \infty lim (\frac{\frac{1}{x}}{1})

簡素化

= x \to \infty lim (\frac{1}{x})

無限大の特性を適用する:

x \to \infty lim (\frac{c}{x ^{a}}) = 0

= 0

グラフ

人気の例

limit as x approaches infinity of ((x+7)/(x+3))^{2x}

x \to \infty lim ((\frac{x + 7}{x + 3})^{2 x})

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

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x \to 5 lim (\frac{- 3}{x - 5})

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