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

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

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

x \to 2 lim (\frac{2 - x}{∣ x - 2 ∣})

diverges

Solution steps

x \to 2 lim (\frac{2 - x}{∣ x - 2 ∣})

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

then the limit does not exist

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

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

= diverges

\frac{d y}{d t} - 2 t y = - 6 t^{2} e^{t^{2}}

\int (cos^{3} (x)) d x

x \to 3 lim (5 x + 2)

x \to 4 lim (32 - x^{2})

\frac{d y}{d x} = \frac{2 x y}{1 + x ^{2}}

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