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

\frac{d}{d t} (e^{2 t} cos (t))

y = \frac{ln ( 9 x )}{9 x}

\int_{- 1}^{7} (4 x + 7) - (x^{2} - 2 x) d x

\int 8 t d t

f^{^{'}} (x) = 3 e^{2 x^{2}}

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