Does the sequence

$\{$a Subscript n$\}$

converge or$$ diverge? Find the limit if the sequence is convergent.

a Subscript nequalsStartFraction $2$ minus $2$ n Superscript $4$ Over n Superscript $4$ Baseline plus $8$ n cubed EndFraction

Question content area bottom

Part $1$

Select the correct choice below$$ and, if$$ necessary, fill in the answer box to complete the choice.

A$.$

The sequence converges to

ModifyingBelow lim With n right arrow infinitya Subscript nequalsenter your response here.

$($Simplify your$$ answer.$)$

B$.$

The sequence diverges.