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

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

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

x \to 0 lim (\frac{2 x}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{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{2 x}{∣ x ∣}) = 2

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

= diverges

y^{^{''}} - 8 y^{^{'}} + 11 y = 0

\frac{d y}{d x} = (3 x y)

\int 4 x - x^{3} d x

i = 1 \sum \infty (\frac{1}{2})^{i - 1}

y^{^{''}} - 3 y^{^{'}} = 2 e^{x} sin (2 x)

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