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人気のある微分積分 >

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

解

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

解

- \frac{1}{3}

+1

十進法表記

- 0.33333 \dots

解答ステップ

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

簡素化

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

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

値を挿入する

x = 0

= \frac{1}{0 - 3}

簡素化

= - \frac{1}{3}

グラフ

人気の例

(\partial)/(\partial y)((7y)/(x^5))

\frac{\partial}{\partial y} (\frac{7 y}{x ^{5}})

derivative of ((1+3x/(3x))(3-x))

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

integral of sin^3(4x)cos(4x)

\int sin^{3} (4 x) cos (4 x) d x

y^{''}-8y^'+16y=0,y(0)=5,y^'(0)=0

y^{^{''}} - 8 y^{^{'}} + 16 y = 0, y (0) = 5, y^{^{'}} (0) = 0

limit as h approaches 0 of h/(h^2-7h+1)

h \to 0 lim (\frac{h}{h ^{2} - 7 h + 1})