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

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

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

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

diverges

Solution steps

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

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

= diverges

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