What is the limit as x approaches 0 of (x^2-x)/(|x|) ?

The limit as x approaches 0 of (x^2-x)/(|x|) is diverges

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limit as x approaches 0 of (x^2-x)/(|x|)

x \to 0 lim (\frac{x ^{2} - x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{x ^{2} - 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 ^{2} - x}{∣ x ∣}) = - 1

x \to 0 - lim (\frac{x ^{2} - x}{∣ x ∣}) = 1

= diverges

x \to 0 + lim (\frac{1}{tan ( x )})

x \to 4 - lim (x - 2)

x \to \infty lim (\frac{2}{2 x})

x \to \infty lim (\frac{1}{x} \cdot x)

x \to 0 lim (\frac{( cos ( x ) - cos ( 3 x ) )}{x ^{2}})

What is the limit as x approaches 0 of (x^2-x)/(|x|) ?
The limit as x approaches 0 of (x^2-x)/(|x|) is diverges