What is the limit as x approaches 0-of x/(|x|) ?

The limit as x approaches 0-of x/(|x|) is -1

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limit as x approaches 0-of x/(|x|)

x \to 0 - lim (\frac{x}{∣ x ∣})

- 1

Solution steps

x \to 0 - lim (\frac{x}{∣ x ∣})

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

= x \to 0 - lim (\frac{x}{- x})

Simplify

= x \to 0 - lim (- 1)

x \to a lim c = c

= - 1

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What is the limit as x approaches 0-of x/(|x|) ?
The limit as x approaches 0-of x/(|x|) is -1