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