What is the limit as x approaches 4 of ln|x-4| ?

The limit as x approaches 4 of ln|x-4| is -infinity

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limit as x approaches 4 of ln|x-4|

x \to 4 lim (ln ∣ x - 4 ∣)

- \infty

Solution steps

x \to 4 lim (ln ∣ x - 4 ∣)

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

then

x \to a lim f (x) = L

x \to 4 - lim (ln ∣ x - 4 ∣) = - \infty

x \to 4 + lim (ln ∣ x - 4 ∣) = - \infty

= - \infty

\frac{8 t}{t + 7}

\frac{d y}{d t} = 2 y + 1

\int \frac{4 x - 5}{( x - 2 ) ( x + 3 )} d x

\frac{d}{d x} (\frac{1}{sin ( x - sin ( x ) )})

y = \frac{8 x ^{2} + 4 x + 2}{x}

What is the limit as x approaches 4 of ln|x-4| ?
The limit as x approaches 4 of ln|x-4| is -infinity