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人気のある微分積分 >

limit as x approaches 0 of (x^3-8x)/(x^2+4x)

解

x \to 0 lim (\frac{x ^{3} - 8 x}{x ^{2} + 4 x})

解

- 2

解答ステップ

x \to 0 lim (\frac{x ^{3} - 8 x}{x ^{2} + 4 x})

簡素化

\frac{x ^{3} - 8 x}{x ^{2} + 4 x} : \frac{x ^{2} - 8}{x + 4}

= x \to 0 lim (\frac{x ^{2} - 8}{x + 4})

値を挿入する

x = 0

= \frac{0 ^{2} - 8}{0 + 4}

簡素化

\frac{0 ^{2} - 8}{0 + 4} : - 2

= - 2

グラフ

人気の例

limit as x approaches 4 of 0/0

x \to 4 lim (\frac{0}{0})

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