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

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

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

x \to 0 lim (\frac{ln ∣ x ∣}{x})

diverges

Solution steps

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

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

= diverges

θ \to - \frac{π}{2} lim (sec (θ))

x \to 0 lim (e^{2})

x \to 3 + lim (x (3))

t \to \infty lim (t e^{\frac{1}{t}} - t)

x \to 4 lim (\frac{- x - 1}{- x - 5})

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