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

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

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

x \to 2 lim (\frac{x - 2}{∣ 2 - x ∣})

diverges

Solution steps

x \to 2 lim (\frac{x - 2}{∣ 2 - x ∣})

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}{∣ 2 - x ∣}) = 1

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

= diverges

x \to 3 lim (\frac{2}{3 - x})

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

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

x \to 0 lim ((x^{2} + 1) cos (x))

x \to \frac{π}{4} lim (tan (3 x))

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