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

n = 0 \sum \infty 4^{n} x^{n}

\frac{\partial}{\partial y} (4 x + 3 y)

e^{x}, e^{5 x}, [0, 1]

\int \frac{2}{x ( x ^{2} + 1 ) ^{2}} d x

\int \frac{1}{x ^{2} - 14 x + 58} d x

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