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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to \infty lim (\frac{2}{3 + 4 ^{\frac{1}{x}}})

x \to \infty lim (- 7 x - 4)

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

x \to 0 lim (\frac{1 - cos ( 7 x )}{1 - cos ( 3 x )})

x \to 0 lim (x^{l n (x + 1)})

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