Determine whether each series is convergent or divergent. 4)Determine whether the series converges or diverges. 5)Determine whether the sequence converges or diverges. Solution a) Looking at the right-hand side of the Riemann zeta-function, we recognizeit to be a p-series with p = x. We know that p-series only converge when p > 1and that they diverge whenever p <= 1, so the domain of the Riemann zeta-function is (1,)={x:x>1}.