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 -1

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

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

- 1

Solution steps

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

x - 2

is negative when

x \to 2 -

. Therefore

∣ x - 2 ∣ = - x + 2

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

\frac{- x + 2}{x - 2} = - 1

= x \to 2 - lim (- 1)

x \to a lim c = c

= - 1

\frac{\partial}{\partial x} (\frac{18 x y}{x + y})

x \to 8 lim (15)

\int sin (x) ln (sin (x)) d x

x^{6}, at x = 3

x \to 0 lim (\frac{x}{x - 1})

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 -1