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

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

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

x \to - 1 lim (\frac{x}{x ^{2} - x})

- \frac{1}{2}

Decimal

- 0.5

Solution steps

x \to - 1 lim (\frac{x}{x ^{2} - x})

Plug in the value

x = - 1

= \frac{- 1}{( - 1 ) ^{2} - ( - 1 )}

Simplify

\frac{- 1}{( - 1 ) ^{2} - ( - 1 )} : - \frac{1}{2}

= - \frac{1}{2}

x \to 0 lim (sec^{2} (x) - 1)

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

x \to - 4 - lim (\frac{( x + 2 )}{x + 4})

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

x \to - 6 lim (\frac{2}{4 x + 10})

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