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 0 lim (sin (2 x))

\frac{d}{d y} (- \frac{y}{x ^{2} + y ^{2}})

\frac{s}{( s - 2 ) ^{2} + 16}

\frac{d}{d x} (f (x) (x)^{2} (x))

\int_{\frac{1}{3}}^{5} 16 x ln (3 x) d x

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