Enkele standaardlimieten:
$
\eqalign{
& \mathop {\lim }\limits_{x \downarrow 0} x \cdot \ln x = 0{\text{ }} \cr
& \mathop {\lim }\limits_{x \to 0} \frac{{e^x - 1}}
{x} = 1 \cr
& \mathop {{\text{lim}}}\limits_{{\text{x}} \to \infty } \frac{{{\text{lnx}}}}
{{\text{x}}} = 0 \cr
& \mathop {{\text{lim}}}\limits_{{\text{x}} \to {\text{1}}} \frac{{{\text{lnx}}}}
{{{\text{x - 1}}}} = 1 \cr}
$