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

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

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

x \to 2 lim (\frac{2 - x}{∣ 2 - x ∣})

diverges

Solution steps

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

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

= diverges

x \to \infty lim (7 \cdot x)

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

x \to 0 + lim ((- 6 ln (x))^{x})

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

x \to 4 lim (\frac{- 4 x ^{2} + 16 x}{x ^{3} - 3 x ^{2} - 4 x})

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