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

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

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limit as x approaches-infinity of ln|x|

x \to - \infty lim (ln ∣ x ∣)

\infty

Solution steps

x \to - \infty lim (ln ∣ x ∣)

x

is negative when

x \to - \infty

. Therefore

∣ x ∣ = - x

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

Apply the Limit Chain Rule:

\infty

= \infty

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