What is the limit as x approaches 2-of (|x+3|)/(x+3) ?

The limit as x approaches 2-of (|x+3|)/(x+3) is 1

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limit as x approaches 2-of (|x+3|)/(x+3)

x \to 2 - lim (\frac{∣ x + 3 ∣}{x + 3})

1

Solution steps

x \to 2 - lim (\frac{∣ x + 3 ∣}{x + 3})

Plug in the value

x = 2

= \frac{∣ 2 + 3 ∣}{2 + 3}

Simplify

\frac{∣ 2 + 3 ∣}{2 + 3} : 1

= 1

What is the limit as x approaches 2-of (|x+3|)/(x+3) ?
The limit as x approaches 2-of (|x+3|)/(x+3) is 1