What is the limit as x approaches 2 of ln|2-x| ?

The limit as x approaches 2 of ln|2-x| is -infinity

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limit as x approaches 2 of ln|2-x|

x \to 2 lim (ln ∣ 2 - x ∣)

- \infty

Solution steps

x \to 2 lim (ln ∣ 2 - x ∣)

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

then

x \to a lim f (x) = L

x \to 2 - lim (ln ∣ 2 - x ∣) = - \infty

x \to 2 + lim (ln ∣ 2 - x ∣) = - \infty

= - \infty

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What is the limit as x approaches 2 of ln|2-x| ?
The limit as x approaches 2 of ln|2-x| is -infinity