What is the limit as x approaches-2 of (-1)/(-x^2+4) ?

The limit as x approaches-2 of (-1)/(-x^2+4) is diverges

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limit as x approaches-2 of (-1)/(-x^2+4)

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

diverges

Solution steps

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

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

= diverges

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What is the limit as x approaches-2 of (-1)/(-x^2+4) ?
The limit as x approaches-2 of (-1)/(-x^2+4) is diverges