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人気のある微分積分 >

limit as x approaches-1-of (x+1)/(x^4-1)

解

x \to - 1 - lim (\frac{x + 1}{x ^{4} - 1})

解

- \frac{1}{4}

+1

十進法表記

- 0.25

解答ステップ

x \to - 1 - lim (\frac{x + 1}{x ^{4} - 1})

簡素化

\frac{x + 1}{x ^{4} - 1} : \frac{1}{( x ^{2} + 1 ) ( x - 1 )}

= x \to - 1 - lim (\frac{1}{( x ^{2} + 1 ) ( x - 1 )})

値を挿入する

x = - 1

= \frac{1}{( ( - 1 ) ^{2} + 1 ) ( - 1 - 1 )}

簡素化

\frac{1}{( ( - 1 ) ^{2} + 1 ) ( - 1 - 1 )} : - \frac{1}{4}

= - \frac{1}{4}

グラフ

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