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

The limit as x approaches 1 of (x^3-x)/(1-x) is -2

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

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

- 2

Solution steps

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

Simplify

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

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

Plug in the value

x = 1

= - 1 \cdot (1 + 1)

Simplify

= - 2

\frac{d}{d x} ((x^{2} + 2 y^{2} + 3 z^{2}) e^{- (x^{2} + y^{2} + z^{2})})

6 cos (sin (x^{2}))

\frac{d}{d x} (ln (1 + 0))

\int \frac{x}{4 - x} d x

\frac{d}{d x} (\frac{x}{x ^{2} - 4})

What is the limit as x approaches 1 of (x^3-x)/(1-x) ?
The limit as x approaches 1 of (x^3-x)/(1-x) is -2