What is the limit as x approaches-2 of (-8)/(x^2-4) ?

The limit as x approaches-2 of (-8)/(x^2-4) is diverges

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limit as x approaches-2 of (-8)/(x^2-4)

x \to - 2 lim (\frac{- 8}{x ^{2} - 4})

diverges

Solution steps

x \to - 2 lim (\frac{- 8}{x ^{2} - 4})

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

then the limit does not exist

x \to - 2 + lim (\frac{- 8}{x ^{2} - 4}) = \infty

x \to - 2 - lim (\frac{- 8}{x ^{2} - 4}) = - \infty

= diverges

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

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

x \to 2 lim (x^{4} - \frac{1}{2})

x \to 0 + lim (5)

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

What is the limit as x approaches-2 of (-8)/(x^2-4) ?
The limit as x approaches-2 of (-8)/(x^2-4) is diverges