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

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

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limit as x approaches-1 of (2x)/(|x|)

x \to - 1 lim (\frac{2 x}{∣ x ∣})

- 2

Solution steps

x \to - 1 lim (\frac{2 x}{∣ x ∣})

Plug in the value

x = - 1

= \frac{2 ( - 1 )}{∣ ( - 1 ) ∣}

Simplify

\frac{2 ( - 1 )}{∣ - 1 ∣} : - 2

= - 2

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