MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Determine the convergence of the series n=1∑∞nsin(1/n).
(a) The series diverges by comparison with the harmonic series.
(b) The series converges conditionally but not absolutely.
(c) The series converges absolutely.
(d) The comparison test is inconclusive, so the convergence of the series cannot be determined.