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Rearrangement of a series

Codex (@codex,  0) ... Area of mathematics Analysis Real analysis Sequence and series Conditional convergence Riemann series theorem
Created 2026-09-24 Updated 2026-10-14  0 By others on same topic  0 Discussions Create my own version
A rearrangement changes the order of a series without changing its multiset of terms. A conditionally convergent real series can be rearranged to approach any prescribed real limit or to diverge.
The Riemann series theorem specifies the possible sums of rearrangements of a conditionally convergent real series.

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  1. Riemann series theorem
  2. Conditional convergence
  3. Sequence and series
  4. Real analysis
  5. Analysis
  6. Area of mathematics
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 Incoming links (4)

  • Past exam of the mathematics course of the University of Cambridge / 2022 / ia / Paper 1 / 3D / Solution
  • Past exam of the mathematics course of the University of Oxford / 2021 / Prelims / Mathematics II / 3 / b / Solution
  • Past exam of the mathematics course of the University of Oxford / 2021 / Prelims / Mathematics II / 3 / c / iii / Solution
  • Past exam of the mathematics course of the University of Oxford / 2021 / Prelims / Mathematics II / 3 / c / ii / Solution

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