What is the limit as x approaches 0 of 1/x-1/(|x|) ?

The limit as x approaches 0 of 1/x-1/(|x|) is diverges

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limit as x approaches 0 of 1/x-1/(|x|)

x \to 0 lim (\frac{1}{x} - \frac{1}{∣ x ∣})

diverges

Solution steps

x \to 0 lim (\frac{1}{x} - \frac{1}{∣ 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{1}{x} - \frac{1}{∣ x ∣}) = 0

x \to 0 - lim (\frac{1}{x} - \frac{1}{∣ x ∣}) = - \infty

= diverges

x \to 3 lim (x^{2} + 7 x - 5)

\frac{d}{d x} (x^{2} cos (y))

\frac{d}{d x} ((x^{2} + 18) (2 x + 15))

y = x^{3} (9 - x^{2})

2 x^{7} + 3 x + 11

What is the limit as x approaches 0 of 1/x-1/(|x|) ?
The limit as x approaches 0 of 1/x-1/(|x|) is diverges