What is the limit as x approaches 6 of (x-6)/(|x-6|) ?

The limit as x approaches 6 of (x-6)/(|x-6|) is diverges

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limit as x approaches 6 of (x-6)/(|x-6|)

x \to 6 lim (\frac{x - 6}{∣ x - 6 ∣})

diverges

Solution steps

x \to 6 lim (\frac{x - 6}{∣ x - 6 ∣})

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

then the limit does not exist

x \to 6 + lim (\frac{x - 6}{∣ x - 6 ∣}) = 1

x \to 6 - lim (\frac{x - 6}{∣ x - 6 ∣}) = - 1

= diverges

n = 1 \sum \infty \frac{n - 1}{n + 1}

f (x) = 7 x e^{x} csc (x)

x y^{^{'}} - 3 y = 7 x

\frac{s}{( s ^{2} - 1 )}

y^{^{'}} + y cos (x) = 4 cos (x)

What is the limit as x approaches 6 of (x-6)/(|x-6|) ?
The limit as x approaches 6 of (x-6)/(|x-6|) is diverges