Chapter: Criteria for Convergence of Sequences

In this section, some (sufficient and/or necessary) conditions are given for the convergence of real sequences (and partially applicable also for complex sequences).

  1. Theorem: Every Bounded Monotonic Sequence Is Convergent
  2. Proposition: Convergent Real Sequences are Bounded
  3. Proposition: Relationship between Limit, Limit Superior, and Limit Inferior of a Real Sequence

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