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

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

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{0 - 1}

Simplify

= - 1

y^{^{'}} = e^{3 x + y}

\frac{d}{d x} (\frac{3 x ^{\frac{1}{2}}}{2})

\int x (e^{- 5 x}) d x

y = ln (7 x)

\int x 49 - x d x

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