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

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

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limit as x approaches 2 of (2-x)/(|x-2|)

x \to 2 lim (\frac{2 - x}{∣ x - 2 ∣})

diverges

Solution steps

x \to 2 lim (\frac{2 - x}{∣ 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{2 - x}{∣ x - 2 ∣}) = - 1

x \to 2 - lim (\frac{2 - x}{∣ x - 2 ∣}) = 1

= diverges

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