What is the limit as x approaches 0 of (3x)/(|x|) ?

The limit as x approaches 0 of (3x)/(|x|) is diverges

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limit as x approaches 0 of (3x)/(|x|)

x \to 0 lim (\frac{3 x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{3 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{3 x}{∣ x ∣}) = 3

x \to 0 - lim (\frac{3 x}{∣ x ∣}) = - 3

= diverges

x \to 0 + lim (x^{- x})

x \to 0 lim (\frac{2 x + 3}{2 x - 1})

x \to 2 lim (2^{x})

x \to 0 + lim ((x) (ln (x)))

x \to 0 + lim (ln (e^{x} - 1))

What is the limit as x approaches 0 of (3x)/(|x|) ?
The limit as x approaches 0 of (3x)/(|x|) is diverges