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

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

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

x \to - 1 - lim (\frac{x}{∣ x - 1 ∣})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

x \to - 1 - lim (\frac{x}{∣ x - 1 ∣})

Plug in the value

x = - 1

= \frac{- 1}{∣ - 1 - 1 ∣}

Simplify

\frac{- 1}{∣ - 1 - 1 ∣} : - \frac{1}{2}

= - \frac{1}{2}

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