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

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

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

x \to 4 lim (\frac{∣ x - 4 ∣}{4 - x})

diverges

Solution steps

x \to 4 lim (\frac{∣ x - 4 ∣}{4 - x})

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 ∣}{4 - x}) = - 1

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

= diverges

\frac{\partial}{\partial x} (2 x + y - 2)

\frac{d}{d x} (a e^{x} + b)

\frac{\partial}{\partial y} (x y e^{- 2 y})

y^{^{'''}} - 2 y^{^{''}} - 48 y^{^{'}} = 0

\frac{\partial}{\partial x} (x^{2} - 3 y^{2} + 7)

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