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

\int (ln (x))^{2} x d x

y^{^{''}} + 4 y = 3 csc^{2} (2 t)

\int \frac{x ^{2} + x - 2}{( x + 2 ) ( x - 5 ) ( x + 1 )} d x

\frac{\partial}{\partial x} (2 sin (x y))

f (x) = - x^{3} + 15 x^{2} - 48 x + 450

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