What is the limit as x approaches-1 of (x-2)/(x^3-8) ?

The limit as x approaches-1 of (x-2)/(x^3-8) is 1/3

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limit as x approaches-1 of (x-2)/(x^3-8)

x \to - 1 lim (\frac{x - 2}{x ^{3} - 8})

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

x \to - 1 lim (\frac{x - 2}{x ^{3} - 8})

Plug in the value

x = - 1

= \frac{- 1 - 2}{( - 1 ) ^{3} - 8}

Simplify

\frac{- 1 - 2}{( - 1 ) ^{3} - 8} : \frac{1}{3}

= \frac{1}{3}

What is the limit as x approaches-1 of (x-2)/(x^3-8) ?
The limit as x approaches-1 of (x-2)/(x^3-8) is 1/3