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人気のある微分積分 >

limit as x approaches 0 of (1/(-3+x)+1/3)/x

解

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

解

- \frac{1}{9}

+1

十進法表記

- 0.11111 \dots

解答ステップ

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

簡素化

\frac{\frac{1}{- 3 + x} + \frac{1}{3}}{x} : \frac{1}{3 ( x - 3 )}

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

値を挿入する

x = 0

= \frac{1}{3 ( 0 - 3 )}

簡素化

= - \frac{1}{9}

グラフ

人気の例

limit as n approaches infinity of 1+3/n

n \to \infty lim (1 + \frac{3}{n})

limit as x approaches 0+of x^2log_{e}(x)

x \to 0 + lim (x^{2} lo g_{e} (x))

limit as x approaches-1 of 3x^2-5

x \to - 1 lim (3 x^{2} - 5)

limit as x approaches 0 of xln|9x|

x \to 0 lim (x ln ∣ 9 x ∣)

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

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