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

The limit as x approaches 4 of (4-|x|)/(4+x) is 0

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

x \to 4 lim (\frac{4 - ∣ x ∣}{4 + x})

0

Solution steps

x \to 4 lim (\frac{4 - ∣ x ∣}{4 + x})

Plug in the value

x = 4

= \frac{4 - ∣ 4 ∣}{4 + 4}

Simplify

\frac{4 - ∣ 4 ∣}{4 + 4} : 0

= 0

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What is the limit as x approaches 4 of (4-|x|)/(4+x) ?
The limit as x approaches 4 of (4-|x|)/(4+x) is 0