Which of the following statements must be true about a series if converges?
MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series
Problem
Which of the following statements must be true about a series ∑an if ∑∣an∣ converges?
(a) The series ∑an is conditionally convergent.
(b) Each term an is positive.
(c) The series ∑an converges.
(d) Rearranging the terms necessarily changes the sum.