MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Consider the series n=1∑∞(−1)n+1nlnn. Which of the following best describes its convergence?
(a) It diverges because lnn grows without bound, so the alternating terms behave like the harmonic series.
(b) It converges absolutely.
(c) It converges conditionally.
(d) It diverges as a p-series with p=1.