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

y = \frac{1}{18 x ^{2}}, y = x, y = \frac{x}{10}

\int \frac{x - 4}{x ^{2}} d x

f (x) = 6 e^{x} (cos (x) - sin (x))

3 t^{7} + 4 t^{5} - t

\frac{d}{d x} (ln (\frac{4 x ^{2} - 9}{2 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