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

The limit as x approaches-2 of (|x+2|)/x is 0

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

x \to - 2 lim (\frac{∣ x + 2 ∣}{x})

0

Solution steps

x \to - 2 lim (\frac{∣ x + 2 ∣}{x})

Plug in the value

x = - 2

= \frac{∣ - 2 + 2 ∣}{- 2}

Simplify

\frac{∣ - 2 + 2 ∣}{- 2} : 0

= 0

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What is the limit as x approaches-2 of (|x+2|)/x ?
The limit as x approaches-2 of (|x+2|)/x is 0