# Limit as x approaches 0 of ln(sin(x))?

May 27, 2018

${\lim}_{x \to 0} \ln \left(\sin x\right) = - \infty$

#### Explanation:

${\lim}_{x \to 0} \ln \left(\sin x\right)$

Set
$\sin x = y$
$x \to 0$
$y \to 0$

$= {\lim}_{y \to 0} \ln y = - \infty$