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

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

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

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

diverges

Solution steps

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

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

= diverges

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

x \to 0 + lim (8 x ln (x))

x \to - 5 lim (\frac{- 3 x}{x + 5})

x \to 0 + lim (1 - 4 x)

x \to 8 + lim (4 x - 1)

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