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人気のある微分積分 >

limit as x approaches-infinity of 1-1/x

解

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

解

1

解答ステップ

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

不定形式の場合を除く

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

x \to - \infty lim (1) = 1

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

= 1 - 0

簡素化

= 1

グラフ

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