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

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

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

x \to 0 lim (\frac{∣ x - 0 ∣}{x - 0})

diverges

Solution steps

x \to 0 lim (\frac{∣ x - 0 ∣}{x - 0})

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 - 0 ∣}{x - 0}) = 1

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

= diverges

\frac{\partial}{\partial x} (7 x^{2} + y^{2})

f (x) = x^{4} - 5 x^{2} + 2, at x = 2

\frac{d}{d x} (5 (e^{x} cos (x) - e^{x} sin (x)))

\int x 6 - x d x

x \to 3 lim (\frac{x - 1}{x ^{2} - 1})

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