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

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

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

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

diverges

Solution steps

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

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

= diverges

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

x \to 0 + lim (x^{2} \cdot ln (4 x^{2}))

x \to 0 - lim (e^{\frac{1}{x}} - 1)

t \to 0 lim (\frac{2 sin ( 4 t )}{t})

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

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