Mathematics

Mathematics

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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