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人気のある微分積分 >

limit as x approaches 0 of x*e^{(1/x)}

解

x \to 0 lim (x \cdot e^{(\frac{1}{x})})

解

は発散する

解答ステップ

x \to 0 lim (x e^{\frac{1}{x}})

x \to a - lim f (x) \neq = x \to a + lim f (x)

の場合, 限度は存在しない

x \to 0 + lim (x e^{\frac{1}{x}}) = \infty

x \to 0 - lim (x e^{\frac{1}{x}}) = 0

= は発散する

グラフ

人気の例

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

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

limit as x approaches 0 of (3x)/(cos(x))

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

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

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limit as x approaches 0+of (ln(1+10x))/x

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