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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

\frac{d}{d x} (\frac{6}{x ^{2} + 3})

x \to - 2 lim (x + 4)

(x^{2} + 1)^{2}

\frac{d}{d x} (\frac{3}{2 x})

f (x) = 8

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