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 positive when

x \to 2 +

. Therefore

∣ x - 2 ∣ = x - 2

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

Simplify

= x \to 2 + lim (1)

x \to a lim c = c

= 1

cos (x) - x^{2}

x \to 0 lim (6 sin (x) ln (x))

y = ln (a x a + x)

\frac{d}{d x} (arccos (- 2 x))

\frac{d}{d x} (\frac{x ^{2} + 4 x ^{\frac{1}{2}}}{x ^{2}})

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