What is the limit as x approaches 2 of (|x-2|)/(2-x) ?

The limit as x approaches 2 of (|x-2|)/(2-x) is diverges

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limit as x approaches 2 of (|x-2|)/(2-x)

x \to 2 lim (\frac{∣ x - 2 ∣}{2 - x})

diverges

Solution steps

x \to 2 lim (\frac{∣ x - 2 ∣}{2 - x})

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

then the limit does not exist

x \to 2 + lim (\frac{∣ x - 2 ∣}{2 - x}) = - 1

x \to 2 - lim (\frac{∣ x - 2 ∣}{2 - x}) = 1

= diverges

x \to 0 lim (- 2 x^{2})

\frac{2}{s ( s + 2 ) ( s + 3 )}

n = 1 \sum \infty (- \frac{2}{3})^{n - 1}

\int_{3}^{9} \frac{1}{x ^{2} - 1} d x

\frac{\partial}{\partial x} (4 - x^{2} - y^{2})

What is the limit as x approaches 2 of (|x-2|)/(2-x) ?
The limit as x approaches 2 of (|x-2|)/(2-x) is diverges