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Monotonic Sequence

  • Definition: Let {a_n} be a sequence of real numbers. We say the sequence is increasing if a_n <= a_(n+1) for all n. If a_n >= a_(n+1) for all n, we say the sequence is decreasing. A sequence is called monotonic if it is increasing or if it is decreasing.

    Source: Mathematical Analysis, second edition by Tom M. Apostol

  • Listed under: Mathematical Analysis, Multivariable Calculus

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