What is the limit as x approaches 4 of (x-4)/(|x-4|) ?

The limit as x approaches 4 of (x-4)/(|x-4|) is diverges

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limit as x approaches 4 of (x-4)/(|x-4|)

x \to 4 lim (\frac{x - 4}{∣ x - 4 ∣})

diverges

Solution steps

x \to 4 lim (\frac{x - 4}{∣ x - 4 ∣})

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

then the limit does not exist

x \to 4 + lim (\frac{x - 4}{∣ x - 4 ∣}) = 1

x \to 4 - lim (\frac{x - 4}{∣ x - 4 ∣}) = - 1

= diverges

\frac{d}{d x} (2 cos (cot (2 x + 1)))

x \to - 7 + lim (\frac{1}{x + 7})

\int_{2}^{4} 3 e^{3 x} d x

\frac{d}{d x} (6 e^{x})

x \to 1 lim (3 x + 1)

What is the limit as x approaches 4 of (x-4)/(|x-4|) ?
The limit as x approaches 4 of (x-4)/(|x-4|) is diverges