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

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

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limit as x approaches 3 of (|x|)/x

x \to 3 lim (\frac{∣ x ∣}{x})

1

Solution steps

x \to 3 lim (\frac{∣ x ∣}{x})

Plug in the value

x = 3

= \frac{∣ 3 ∣}{3}

Simplify

\frac{∣ 3 ∣}{3} : 1

= 1

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