MATHEMATICS · Single correct · AoPS · Mathematics · Sequences & Series · Sequences & Series
Problem
Consider the series n=1∑∞(n1−n+11). Which of the following statements is true?
(a) The series converges, and its sum equals ln2.},{
(b) The series diverges because it behaves like the harmonic series.
(c) The series converges, and its sum equals 1.},{
(d) The series converges, and its sum equals 21.}],