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

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

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

x \to 0 lim (\frac{∣ x ∣}{x} - 1)

diverges

Solution steps

x \to 0 lim (\frac{∣ x ∣}{x} - 1)

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

x \to 0 - lim (\frac{∣ x ∣}{x} - 1) = - 2

= diverges

\frac{d}{d x} (\frac{3}{1 + x})

y^{^{'}} - 2 y = x y^{3}, y (0) = 22

(x \cdot y) d x + x d y = 0

x \to 0 lim (\frac{sin ( \frac{1}{x} )}{x})

y^{^{''}} + 4 y = 4 sin (2 x)

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