Determine whether the sequence is divergent or convergent

Question

 Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.

lim n approaches INF (-4n^5+sin^2(3n))/n^5+4

Answer 1

Since the nth term converges to -4, this series cannot converge.