Which of the following best describes when an infinite series is said to be…

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Which of the following best describes when an infinite series ∑an\sum a_n is said to be "conditionally convergent"? (a) Both the series ∑an\sum a_n and ∑∣an∣\sum |a_n| converge. (b) The series ∑an\sum a_n diverges, but the series ∑∣an∣\sum |a_n| converges. (c) The series ∑an\sum a_n converges, but the series ∑∣an∣\sum |a_n| diverges. (d) The sequence of partial sums of ∑an\sum a_n oscillates without approaching a finite limit.

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