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

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

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

x \to 2 lim (\frac{∣ x - 2 ∣}{x - 2})

diverges

Solution steps

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

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

= diverges

\int b cos (x) d x

\frac{d y}{d x} = \frac{y}{x} + 9 x + 4

\frac{\partial}{\partial x} (9 - x)

x \to 0 lim (\frac{x - ∣ x ∣}{2 x})

\int_{0}^{- 0.4} 300 x d x

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