$$lim_{x\rightarrow\infty}\frac{5y^{2}+10y+1}{y^{3}+2y^{2}+y-3}$$
$\frac{5y^{2}+10y+1}{y^{3}+2y^{2}+y-3}$
$-\frac{\left(y+1\right)\left(5y^{3}+15y^{2}+3y+31\right)}{\left(y^{3}+2y^{2}+y-3\right)^{2}}$
