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

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

= x \to 0 - lim (ln (- x))

Apply the Limit Chain Rule:

- \infty

= - \infty

\frac{d y}{d x} + 11 y = 4

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

\int x^{2} e^{9 x} d x

\frac{d}{d x} (x^{4} + 8)

x \to - \infty lim (5 + x^{2})

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