# Question #9f557

$\frac{1}{x - 1} - \frac{1}{x}$ or (equivalently) $\frac{1}{x \left(x - 1\right)}$
$\ln \left(1 - \frac{1}{x}\right) = \ln \left(\frac{x - 1}{x}\right) = \ln \left(x - 1\right) - \ln x$
$\frac{1}{x - 1} - \frac{1}{x}$ which can be written $\frac{1}{x \left(x - 1\right)}$