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

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

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

x \to 9 lim (\frac{x - 9}{∣ x - 9 ∣})

diverges

Solution steps

x \to 9 lim (\frac{x - 9}{∣ x - 9 ∣})

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

then the limit does not exist

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

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

= diverges

\frac{d}{d x} (x^{8} x)

x \to 0 lim (ln (x))

\frac{5}{( s ^{3} - 10 \cdot s ^{2} )}

\int \frac{x ^{2} + 3 x + 1}{x ^{4} + 5 x ^{2} + 4} d x

\frac{d}{d x} ((3 x^{2} - 10)^{- 10})

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