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人気のある微分積分 >

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

解

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

解

4

解答ステップ

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

簡素化

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

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

値を挿入する

x = - 1

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

簡素化

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

= 4

グラフ

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