What is the limit as x approaches-5+of (|x-5|)/(x-5) ?

The limit as x approaches-5+of (|x-5|)/(x-5) is -1

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limit as x approaches-5+of (|x-5|)/(x-5)

x \to - 5 + lim (\frac{∣ x - 5 ∣}{x - 5})

- 1

Solution steps

x \to - 5 + lim (\frac{∣ x - 5 ∣}{x - 5})

Plug in the value

x = - 5

= \frac{∣ - 5 - 5 ∣}{- 5 - 5}

Simplify

\frac{∣ - 5 - 5 ∣}{- 5 - 5} : - 1

= - 1

What is the limit as x approaches-5+of (|x-5|)/(x-5) ?
The limit as x approaches-5+of (|x-5|)/(x-5) is -1