(b) What is a convergent series? What is a divergent series? A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent. A convergent series is a series for which lim n → [infinity] an exists. A series is convergent if it is not divergent. A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent. A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent. A series is divergent if the sequence of partial sums is a convergent sequence. A series is convergent if it is not divergent.