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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (\frac{arcsin ( x ) - arctan ( x )}{x ^{3}})

x \to a lim (f (x) (x)^{n})

x \to - 6 lim (10 x + 1)

x \to 3 + lim (3 - x)

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

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