Q$1).$ Check whether the following sequences are bounded or not, and if a sequence is bounded give an upper and lower bound respectively.

$($a$)\{\frac{-3n}{n^n+e}{\}}_n=1^9$

$(2$ marks$)$

$($b$)\{\frac{(n+1{)}^2}{+2n^2}{\}}_n=0^{}$

$(2$ marks$)$

$($c$)\{\frac{-1^{n+1}}{sin(n)}{\}}_n=0^{}$

$(3$ marks