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

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

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

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

diverges

Solution steps

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

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

= diverges

\int e^{- x} cos (5 x) d x

x \to 2 + lim (4 - x^{2})

\frac{\partial}{\partial x} (x e^{x - y})

\frac{d}{d x} (\frac{4 x ^{3} - 7 x + 8}{x})

\frac{d y}{d x} = \frac{1 + 3 x ^{2}}{( 1 + y ) ^{2}}, y (1) = 2

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