"Determine whether each integral is convergent or divergent. Evaluate those that are convergent"
Sorry people, my LaTex skills break down here. Anyways,
But then from here I have to evaluate sine to infinity...
Well, you're getting a bit ahead of me; we haven't yet learned to write functions as sums, so I don't think it would be acceptable to do on the homework. But here, can I just say that because the limit does not exist, it is divergent? It's doesn't exist for a different reason than what is usual in improper integrals that I have seen thus the reservation.