What is the limit as x approaches 0 of 8/x-8/(|x|) ?

The limit as x approaches 0 of 8/x-8/(|x|) is diverges

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limit as x approaches 0 of 8/x-8/(|x|)

x \to 0 lim (\frac{8}{x} - \frac{8}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{8}{x} - \frac{8}{∣ 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{8}{x} - \frac{8}{∣ x ∣}) = 0

x \to 0 - lim (\frac{8}{x} - \frac{8}{∣ x ∣}) = - \infty

= diverges

\frac{d}{d x} (360 x^{2} - 480 x + 120)

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\int \frac{e 3 x + 1}{3 x + 1} d x

\frac{d}{d x} (- 6 x^{2} + 3200 x - 61600)

\frac{\partial}{\partial x} (\frac{x}{2 y + x})

What is the limit as x approaches 0 of 8/x-8/(|x|) ?
The limit as x approaches 0 of 8/x-8/(|x|) is diverges