Question $2(20$ points$)$ Use limit value and L$$Hopital$$s rule to find the relationship of f$($n$)$ and g$($n$)$

$(()=(),()=((),()=(()).[$Rubrics: Calculate the limit value, and

based on the calculation result, determine the asymptotic relationship.$]$

$($a$)[10$ pts$].()=2+2$

$2,()=2$

$($b$)[10$ pts$].()=(+3)2,()=3$