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人気のある微分積分 >

limit as x approaches 1+of (x-1)^{(x-1)}

解

x \to 1 + lim ((x - 1)^{(x - 1)})

解

(1 - 1)^{1} (1 - 1)^{- 1}

解答ステップ

x \to 1 + lim ((x - 1)^{x - 1})

簡素化

(x - 1)^{x - 1} : (x - 1)^{x} (x - 1)^{- 1}

= x \to 1 + lim ((x - 1)^{x} (x - 1)^{- 1})

値を挿入する

x = 1

= (1 - 1)^{1} (1 - 1)^{- 1}

グラフ

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