Use the integral test to determine whether the infinite series is convergent. ∑n=1∞n−13 fill in the corresponding integrand and the value of the improper integral. enter inf for ∞, -inf for −∞, and dne if the limit does not exist. compare with ∫∞1 dx = by the integral test, the infinite series ∑n=1∞n−13 a. converges b. diverges