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

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

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

x \to 8 lim (\frac{∣ 8 - x ∣}{8 - x})

diverges

Solution steps

x \to 8 lim (\frac{∣ 8 - x ∣}{8 - x})

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

then the limit does not exist

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

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

= diverges

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