Q$4).$ Assuming that by Monotone Convergence Theorem $($MCT$)$ the following sequence converges, find the appropriate values of $.$

$\{\frac{2+n}{3n^{}}{\}}_n=1^{}$

What is the upper bound, lower bound and the limit of this sequence as $n$ for the sequence with such appropriate values of $?$

$(4$ marks$)$

Q$5).$ Check whether the sequence

$\{\frac{(-1{)}^{n+2}}{3n^3+2}{\}}_n=1^{}$

converges.

$(3$ marks$)$

Q$6).$ Give two examples of monotonic unbounded sequences.

$(2$ marks$)$