What is the limit as x approaches 5 of (|x-5|)/(5-x) ?

The limit as x approaches 5 of (|x-5|)/(5-x) is diverges

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limit as x approaches 5 of (|x-5|)/(5-x)

x \to 5 lim (\frac{∣ x - 5 ∣}{5 - x})

diverges

Solution steps

x \to 5 lim (\frac{∣ x - 5 ∣}{5 - x})

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

then the limit does not exist

x \to 5 + lim (\frac{∣ x - 5 ∣}{5 - x}) = - 1

x \to 5 - lim (\frac{∣ x - 5 ∣}{5 - x}) = 1

= diverges

\frac{d}{d x} ((x + 5)^{3})

(0, 0), (- 2, - 6)

y^{^{'}} - 4 y = 3 e^{5 t}

\frac{\partial}{\partial x} (3 y^{2} sin (6 x))

\int 5 sin (x) d x

What is the limit as x approaches 5 of (|x-5|)/(5-x) ?
The limit as x approaches 5 of (|x-5|)/(5-x) is diverges