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

The limit as x approaches 2 of (2x-4)/(sqrt(x^2-4)) is Does not exist

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

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

Does not exist

Solution steps

x \to 2 lim (\frac{2 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{2 x - 4}{x ^{2} - 4}) = 0

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

Does not exist

= Does not exist

x \to 3 lim (2 x - 5)

x \to \frac{π}{6} lim (cot (4 x))

x \to 0 lim (\frac{x ^{2} - x}{2 x})

x \to 3 lim (\frac{1}{x ^{2} + 16})

x \to 1 lim (ln (x) \cdot ln (x - 1))

What is the limit as x approaches 2 of (2x-4)/(sqrt(x^2-4)) ?
The limit as x approaches 2 of (2x-4)/(sqrt(x^2-4)) is Does not exist