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人気のある微分積分 >

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

解

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

解

12

解答ステップ

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

簡素化

\frac{( x - 2 ) ^{3} + 8}{x} : x^{2} - 6 x + 12

= x \to 0 lim (x^{2} - 6 x + 12)

値を挿入する

x = 0

= 0^{2} - 6 \cdot 0 + 12

簡素化

= 12

グラフ

人気の例

limit as x approaches 0 of x/(ln(2x))

x \to 0 lim (\frac{x}{ln ( 2 x )})

limit as x approaches 0 of (e^x)/2

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

limit as x approaches 0 of 2/(x-1)

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

limit as x approaches 3/2 of x+1

x \to \frac{3}{2} lim (x + 1)

limit as x approaches 0-of (4-4/x)^x

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