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

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

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limit as x approaches-1 of (|x|)/x

x \to - 1 lim (\frac{∣ x ∣}{x})

- 1

Solution steps

x \to - 1 lim (\frac{∣ x ∣}{x})

Plug in the value

x = - 1

= \frac{∣ ( - 1 ) ∣}{- 1}

Simplify

\frac{∣ - 1 ∣}{- 1} : - 1

= - 1

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