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 2

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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})

2

Solution steps

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

Simplify

\frac{x ^{3} - x}{x + 1} : x (x - 1)

= x \to - 1 lim (x (x - 1))

Plug in the value

x = - 1

= (- 1) (- 1 - 1)

Simplify

= 2

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 2