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人気のある微分積分 >

limit as x approaches 0 of 1-e^{-1/x}

解

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

解

は発散する

解答ステップ

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

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

= は発散する

グラフ

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