Which of the following statements is always true about an infinite series that is…
MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Which of the following statements is always true about an infinite series ∑an that is absolutely convergent?
(a) The series converges only if every term an is non-negative.
(b) The series might diverge after its terms are rearranged.
(c) The series converges, and any rearrangement of its terms converges to the same sum.
(d) The terms an must approach 0 faster than 1/n2.