Question $5$: Let

f $($x$)=($x $1)($x $2)^2/(2$x $5)($x $1)($x $3)$

Part a: Determine the domain of f $($x$).$

Part b: Determine all vertical asymptotes and all horizontal asymptotes of f $($x$).$

Part c: What is

limx$1$ f $($x$)?$

Part d: Is f $($x$)$ continuous at x $=1?$ Why or why not?