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

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

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

x \to 0 lim (\frac{∣ x ∣}{x})

diverges

Solution steps

x \to 0 lim (\frac{∣ 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}) = 1

x \to 0 - lim (\frac{∣ x ∣}{x}) = - 1

= diverges

x \to 2 lim (x + 2)

f (x) = \frac{1}{x - 4}

\frac{d ^{3}}{d x ^{3}} (\frac{2}{x ^{2}})

\frac{\partial}{\partial x} (2 x e^{- y})

y^{^{'}} + 6 y = 60, y (1) = 60

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