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

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

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

x \to 0 lim (\frac{x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{x}{∣ x ∣})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{x}{∣ x ∣}) = 1

x \to 0 - lim (\frac{x}{∣ x ∣}) = - 1

= diverges

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