What is the limit as x approaches 0 of (x^3-8)/(x-2) ?

The limit as x approaches 0 of (x^3-8)/(x-2) is 4

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limit as x approaches 0 of (x^3-8)/(x-2)

x \to 0 lim (\frac{x ^{3} - 8}{x - 2})

4

Solution steps

x \to 0 lim (\frac{x ^{3} - 8}{x - 2})

Plug in the value

x = 0

= \frac{0 ^{3} - 8}{0 - 2}

Simplify

\frac{0 ^{3} - 8}{0 - 2} : 4

= 4

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What is the limit as x approaches 0 of (x^3-8)/(x-2) ?
The limit as x approaches 0 of (x^3-8)/(x-2) is 4