What is the limit as x approaches-1 of (x^3-x)/(x-1) ?

The limit as x approaches-1 of (x^3-x)/(x-1) is 0

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limit as x approaches-1 of (x^3-x)/(x-1)

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

0

Solution steps

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

Plug in the value

x = - 1

= \frac{( - 1 ) ^{3} - ( - 1 )}{- 1 - 1}

Simplify

\frac{( - 1 ) ^{3} - ( - 1 )}{- 1 - 1} : 0

= 0

What is the limit as x approaches-1 of (x^3-x)/(x-1) ?
The limit as x approaches-1 of (x^3-x)/(x-1) is 0