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人気のある微分積分 >

limit as x approaches 1 of (1-1/x)/(x-1)

解

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

解

1

解答ステップ

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

簡素化

\frac{1 - \frac{1}{x}}{x - 1} : \frac{1}{x}

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

値を挿入する

x = 1

= \frac{1}{1}

簡素化

= 1

グラフ

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