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人気のある微分積分 >

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

解

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

解

4

解答ステップ

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

簡素化

\frac{4 x - x ^{2}}{x} : 4 - x

= x \to 0 lim (4 - x)

値を挿入する

x = 0

= 4 - 0

簡素化

= 4

グラフ

人気の例

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

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

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

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

limit as x approaches-2 of x^2+4

x \to - 2 lim (x^{2} + 4)

limit as x approaches 0+of e^{-1/(x^2)}

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

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

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