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

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

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

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

1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= 1

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