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

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

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

x \to 0 lim (\frac{∣ x ∣ - x}{x})

diverges

Solution steps

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

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

= diverges

\frac{d}{d x} (\frac{1}{tan ( x )})

\int \frac{cos ( x )}{4 - sin ^{2} ( x )} d x

\int (sec^{2} (x) - 7) d x

f (x) = \frac{3 x}{x - 2}

h \to 0 lim (\frac{( h - 1 ) ^{3} + 1}{h})

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