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 positive when

x \to 0 +

. Therefore

∣ x ∣ = x

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

Apply the common limit:

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

= - \infty

4 sec^{2} (x)

\frac{x ^{2}}{7 + 4 x}

x \to \infty lim (\frac{1}{2})

\int sec^{2} (θ) - 1 d θ

\int \frac{b}{a} d x

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