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

The limit as x approaches 0 of ln|x| is -infinity

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limit as x approaches 0 of ln|x|

x \to 0 lim (ln ∣ x ∣)

- \infty

Solution steps

x \to 0 lim (ln ∣ x ∣)

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (ln ∣ x ∣) = - \infty

x \to 0 + lim (ln ∣ x ∣) = - \infty

= - \infty

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

y^{^{''}} + 2 y^{^{'}} + 1 = 0

7 x - x^{2}

\int_{0}^{2} \frac{3 t}{( t - 3 ) ^{2}} d t

\frac{d}{d x} (18 x + 3)

What is the limit as x approaches 0 of ln|x| ?
The limit as x approaches 0 of ln|x| is -infinity