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

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

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

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

- 1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= - 1

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