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

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

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

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

- 12

Solution steps

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

Simplify

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

\int \frac{u ^{2}}{u ^{2} + 1} d u

k = 1 \sum \infty \frac{k}{2 ^{k}}

\frac{d}{d x} (cosh (x^{2}))

\frac{\partial}{\partial p} (p^{3} q^{2} + 2 pq + \frac{p}{q})

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