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

The limit as x approaches 0 of x/(x-|x|) is Does not exist

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

x \to 0 lim (\frac{x}{x - ∣ x ∣})

Does not exist

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 ∣}) =

Does not exist

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

= Does not exist

x \to - \infty lim (e^{x} - 3)

x \to 3 - lim (\frac{sin ( x )}{x})

x \to \infty lim (2 - \frac{3}{x})

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

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

What is the limit as x approaches 0 of x/(x-|x|) ?
The limit as x approaches 0 of x/(x-|x|) is Does not exist