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 -1

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

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

- 1

Solution steps

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

x - 2

is positive when

x \to 2 +

. Therefore

∣ x - 2 ∣ = x - 2

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

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

= x \to 2 + lim (- 1)

x \to a lim c = c

= - 1

t \to 0 lim (\frac{e ^{\frac{1}{t}}}{t})

\frac{d y}{d x}, 2 x^{3} - 5 x y - y^{2} = 3

x \to - 2 lim ((6 x + 1) (2 x - 3))

\frac{d}{d x} (5^{l n (c o s (3 x))})

\frac{d}{d x} (- 3 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 -1