What is the limit as x approaches 0 of x/(x^2-6x) ?

The limit as x approaches 0 of x/(x^2-6x) is -1/6

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limit as x approaches 0 of x/(x^2-6x)

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

- \frac{1}{6}

Decimal

- 0.16666 \dots

Solution steps

x \to 0 lim (\frac{x}{x ^{2} - 6 x})

Simplify

\frac{x}{x ^{2} - 6 x} : \frac{1}{x - 6}

= x \to 0 lim (\frac{1}{x - 6})

Plug in the value

x = 0

= \frac{1}{0 - 6}

Simplify

= - \frac{1}{6}

What is the limit as x approaches 0 of x/(x^2-6x) ?
The limit as x approaches 0 of x/(x^2-6x) is -1/6