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人気のある微分積分 >

limit as x approaches 0 of (|x|)/(3x)

解

x \to 0 lim (\frac{∣ x ∣}{3 x})

解

は発散する

解答ステップ

x \to 0 lim (\frac{∣ x ∣}{3 x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

の場合, 限度は存在しない

x \to 0 + lim (\frac{∣ x ∣}{3 x}) = \frac{1}{3}

x \to 0 - lim (\frac{∣ x ∣}{3 x}) = - \frac{1}{3}

= は発散する

グラフ

人気の例

limit as x approaches 4 of (2/(x+1)-4/(x+6))/(x+4)

x \to 4 lim (\frac{\frac{2}{x + 1} - \frac{4}{x + 6}}{x + 4})

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

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

limit as x approaches-5/2 of ((8x^3+125))/(6x^2+23x+20)

x \to - \frac{5}{2} lim (\frac{( 8 x ^{3} + 125 )}{6 x ^{2} + 23 x + 20})

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

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

limit as x approaches infinity of 5-(-2)

x \to \infty lim (5 - (- 2))