What is the limit as x approaches 6+of (|x-6|)/(x-6) ?

The limit as x approaches 6+of (|x-6|)/(x-6) is 1

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limit as x approaches 6+of (|x-6|)/(x-6)

x \to 6 + lim (\frac{∣ x - 6 ∣}{x - 6})

1

Solution steps

x \to 6 + lim (\frac{∣ x - 6 ∣}{x - 6})

x - 6

is positive when

x \to 6 +

. Therefore

∣ x - 6 ∣ = x - 6

= x \to 6 + lim (\frac{x - 6}{x - 6})

Simplify

= x \to 6 + lim (1)

x \to a lim c = c

= 1

\frac{d}{d E} (E i)

n = 1 \sum \infty \frac{2}{n ^{2} + 4 n + 3}

\frac{\partial}{\partial x} (x^{4} + 2 y^{6} - x y - x + 2)

\int_{0}^{4} π (x + 1)^{2} d x

f (x) = x^{3} + 2 x - 3

What is the limit as x approaches 6+of (|x-6|)/(x-6) ?
The limit as x approaches 6+of (|x-6|)/(x-6) is 1