What is the limit as x approaches 1 of ln|x-1| ?

The limit as x approaches 1 of ln|x-1| is -infinity

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limit as x approaches 1 of ln|x-1|

x \to 1 lim (ln ∣ x - 1 ∣)

- \infty

Solution steps

x \to 1 lim (ln ∣ x - 1 ∣)

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

then

x \to a lim f (x) = L

x \to 1 - lim (ln ∣ x - 1 ∣) = - \infty

x \to 1 + lim (ln ∣ x - 1 ∣) = - \infty

= - \infty

\frac{\partial ^{2}}{\partial x ^{2}} (2 cos (x y^{2}))

(\frac{d y}{d x}) = (x + y + 7)^{2}

- \frac{x 1 - y ^{2}}{y 1 - x ^{2}} = \frac{d y}{d x}

n = 0 \sum \infty \frac{n ^{2} + 1}{n !}

\int sin (3 x) cos (3 x) d x

What is the limit as x approaches 1 of ln|x-1| ?
The limit as x approaches 1 of ln|x-1| is -infinity