What is the limit as x approaches 0 of 4/x-4/(|x|) ?

The limit as x approaches 0 of 4/x-4/(|x|) is diverges

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limit as x approaches 0 of 4/x-4/(|x|)

x \to 0 lim (\frac{4}{x} - \frac{4}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{4}{x} - \frac{4}{∣ 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{4}{x} - \frac{4}{∣ x ∣}) = 0

x \to 0 - lim (\frac{4}{x} - \frac{4}{∣ x ∣}) = - \infty

= diverges

y^{^{'}} + y = 5 sin (2 x)

\frac{\partial}{\partial x} (sin (n x) e^{- n^{2} t})

x \to \infty lim (1 - e^{x})

x \to - 1 lim (x^{2} + 4)

\int \frac{1}{5 + 2 x} d x

What is the limit as x approaches 0 of 4/x-4/(|x|) ?
The limit as x approaches 0 of 4/x-4/(|x|) is diverges