What is the limit as x approaches 9 of (|9-x|)/(9-x) ?

The limit as x approaches 9 of (|9-x|)/(9-x) is diverges

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limit as x approaches 9 of (|9-x|)/(9-x)

x \to 9 lim (\frac{∣ 9 - x ∣}{9 - x})

diverges

Solution steps

x \to 9 lim (\frac{∣ 9 - x ∣}{9 - x})

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

then the limit does not exist

x \to 9 + lim (\frac{∣ 9 - x ∣}{9 - x}) = - 1

x \to 9 - lim (\frac{∣ 9 - x ∣}{9 - x}) = 1

= diverges

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What is the limit as x approaches 9 of (|9-x|)/(9-x) ?
The limit as x approaches 9 of (|9-x|)/(9-x) is diverges