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

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

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

x \to 0 lim (\frac{x - ∣ x ∣}{x})

diverges

Solution steps

x \to 0 lim (\frac{x - ∣ 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 ∣}{x}) = 0

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

= diverges

\int \frac{1}{( x - 3 ) ln ( x - 3 )} d x

\frac{d x}{d t} = x - x^{3}

(x e^{- 2 x})^{^{'}}

\int tan^{3} (π x) d x

\int_{0}^{\infty} e^{- 2 a x} d x

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