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

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

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

x \to 2 lim (\frac{2 - ∣ x ∣}{2 + x})

0

Solution steps

x \to 2 lim (\frac{2 - ∣ x ∣}{2 + x})

Plug in the value

x = 2

= \frac{2 - ∣ 2 ∣}{2 + 2}

Simplify

\frac{2 - ∣ 2 ∣}{2 + 2} : 0

= 0

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