Mathematics

Mathematics

Problem

Which of the following statements is always true about an infinite series ∑an\sum a_n that is absolutely convergent? a) The series converges only if every term ana_n 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 ana_n must approach 00 faster than 1/n21/n^{2}.

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