[tex]\mathop {\lim }\limits_{x \to \frac{3} {2}} \dfrac{{3x - 2}} {{3x^2 - 2x}} = \mathop {\lim }\limits_{x \to \frac{3} {2}} \dfrac{{3x - 2}} {{x\left( {3x - 2} \right)}}[/tex]
[tex]= \mathop {\lim }\limits_{x \to \frac{3} {2}} \left[ {\frac{1} {x} \cdot \frac{{3x - 2}} {{3x - 2}}} \right] = \mathop {\lim }\limits_{x \to \frac{3} {2}} \frac{1} {x} = \frac{2} {3}[/tex]
