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人気のある微分積分 >

limit as x approaches 1 of (1-x)/(1-x^3)

解

x \to 1 lim (\frac{1 - x}{1 - x ^{3}})

解

\frac{1}{3}

+1

十進法表記

0.33333 \dots

解答ステップ

x \to 1 lim (\frac{1 - x}{1 - x ^{3}})

簡素化

\frac{1 - x}{1 - x ^{3}} : \frac{1}{x ^{2} + x + 1}

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

値を挿入する

x = 1

= \frac{1}{1 ^{2} + 1 + 1}

簡素化

= \frac{1}{3}

グラフ

人気の例

limit as x approaches 0 of 1/(x+x^2)

x \to 0 lim (\frac{1}{x + x ^{2}})

limit as x approaches 3+of sqrt(3-x)

x \to 3 + lim (3 - x)

limit as x approaches 0+of e^{1/x}x

x \to 0 + lim (e^{\frac{1}{x}} x)

limit as x approaches-7-of f(x)

x \to - 7 - lim (f (x))

limit as x approaches 2 of (x+1)/(2x-1)

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