What is the limit as x approaches 2 of (x^3-1)/(x-2) ?

The limit as x approaches 2 of (x^3-1)/(x-2) is diverges

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limit as x approaches 2 of (x^3-1)/(x-2)

x \to 2 lim (\frac{x ^{3} - 1}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x ^{3} - 1}{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} - 1}{x - 2}) = \infty

x \to 2 - lim (\frac{x ^{3} - 1}{x - 2}) = - \infty

= diverges

x \to 1 lim (\frac{x}{1 - x ^{2}})

x \to - \frac{10}{3} lim (8 1^{x})

x \to 1 - lim (2 x + 1)

x \to 0 - lim (tan (x))

x \to \infty lim (\frac{15}{x})

What is the limit as x approaches 2 of (x^3-1)/(x-2) ?
The limit as x approaches 2 of (x^3-1)/(x-2) is diverges