What is the limit as x approaches 8 of (x-8)/(|x-8|) ?

The limit as x approaches 8 of (x-8)/(|x-8|) is diverges

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limit as x approaches 8 of (x-8)/(|x-8|)

x \to 8 lim (\frac{x - 8}{∣ x - 8 ∣})

diverges

Solution steps

x \to 8 lim (\frac{x - 8}{∣ x - 8 ∣})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 8 + lim (\frac{x - 8}{∣ x - 8 ∣}) = 1

x \to 8 - lim (\frac{x - 8}{∣ x - 8 ∣}) = - 1

= diverges

What is the limit as x approaches 8 of (x-8)/(|x-8|) ?
The limit as x approaches 8 of (x-8)/(|x-8|) is diverges