Which of the following best describes what it means for a series to converge absolutely?

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

Problem

Which of the following best describes what it means for a series ∑an\sum a_n to converge absolutely? (a) The sequence of partial sums of ∑an\sum a_n is bounded above. (b) The series ∑∣an∣\sum |a_n| converges. (c) The series converges, but ∑∣an∣\sum |a_n| diverges. (d) The series converges whenever lim⁡n→∞an=0.\displaystyle\lim_{n\to\infty} a_n = 0.

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