#### Answer

$\lim\limits_{y \to 2}\frac{y + 2}{y^{2}+5y+6} = 1/5 = 0.2$

#### Work Step by Step

$\lim\limits_{y \to 2}\frac{y + 2}{y^{2}+5y+6} = \frac{\lim\limits_{y \to 2}(y+2)}{\lim\limits_{y \to 2}(y^{2}+5y+6)}$
= $\frac{2+2}{4+10+6}$
= $\frac{4}{20}$= $\frac{1}{5}$ = 0.2