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}) = \frac{1}{2}

x \to 0 - lim (\frac{x}{∣ x ∣ + x}) =

Does not exist

= Does not exist

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