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

- 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}

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