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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (2 x + 33)

x \to 0 lim ((2 x)^{3 x})

x \to 0 lim ((sin (\frac{1}{x})) x)

x \to 4 - lim (4 - x)

x \to 4 lim (\frac{1}{64 - x ^{3}})

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