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

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

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

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

- 1

Solution steps

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

Simplify

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

= x \to 1 lim (- x)

Plug in the value

x = 1

= - 1

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

x \to 0 lim (12 x cot (9 x))

x \to \infty lim (\frac{ln ( 1 + e ^{x} )}{12 x + 11})

x \to 1 lim (x^{2} + 6 x)

x \to 2 + lim (x^{2} + 3)

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