What is the limit as x approaches 2 of (x^3-4)/(x-2) ?

The limit as x approaches 2 of (x^3-4)/(x-2) is diverges

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limit as x approaches 2 of (x^3-4)/(x-2)

x \to 2 lim (\frac{x ^{3} - 4}{x - 2})

diverges

Solution steps

x \to 2 lim (\frac{x ^{3} - 4}{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} - 4}{x - 2}) = \infty

x \to 2 - lim (\frac{x ^{3} - 4}{x - 2}) = - \infty

= diverges

8 x^{2} y^{^{'}} = y^{^{'}} + 2 x e^{- y}

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\frac{d}{d x} (\frac{x ^{3}}{x + 1})

What is the limit as x approaches 2 of (x^3-4)/(x-2) ?
The limit as x approaches 2 of (x^3-4)/(x-2) is diverges