What is the limit as x approaches 0 of x/(x^2-3x) ?

The limit as x approaches 0 of x/(x^2-3x) is -1/3

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

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

- \frac{1}{3}

Decimal Notation

- 0.33333 \dots

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{0 - 3}

Simplify

= - \frac{1}{3}

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

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

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

\int \frac{5 x}{x ^{2} - 1} d x

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

What is the limit as x approaches 0 of x/(x^2-3x) ?
The limit as x approaches 0 of x/(x^2-3x) is -1/3