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

The limit as x approaches 2+of (x^3-8)/(x-2) is 12

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

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

12

Solution steps

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

Simplify

\frac{x ^{3} - 8}{x - 2} : x^{2} + 2 x + 4

= x \to 2 + lim (x^{2} + 2 x + 4)

Plug in the value

x = 2

= 2^{2} + 2 \cdot 2 + 4

Simplify

= 12

What is the limit as x approaches 2+of (x^3-8)/(x-2) ?
The limit as x approaches 2+of (x^3-8)/(x-2) is 12