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

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

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

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

1

Solution steps

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

Plug in the value

x = 4

= \frac{∣ 4 + 4 ∣}{4 + 4}

Simplify

\frac{∣ 4 + 4 ∣}{4 + 4} : 1

= 1

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