What is the limit as x approaches-4 of (|x+2|)/(x+2) ?

The limit as x approaches-4 of (|x+2|)/(x+2) is -1

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limit as x approaches-4 of (|x+2|)/(x+2)

x \to - 4 lim (\frac{∣ x + 2 ∣}{x + 2})

- 1

Solution steps

x \to - 4 lim (\frac{∣ x + 2 ∣}{x + 2})

Plug in the value

x = - 4

= \frac{∣ - 4 + 2 ∣}{- 4 + 2}

Simplify

\frac{∣ - 4 + 2 ∣}{- 4 + 2} : - 1

= - 1

What is the limit as x approaches-4 of (|x+2|)/(x+2) ?
The limit as x approaches-4 of (|x+2|)/(x+2) is -1