Sequences and Limiting Processes
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Monotone sequences
Equations are omitted for technical reasons - download the original pdf
When [Equation goes here - download the original to see it.] the sequence [Equation] is said to be increasing. When [Equation] then [Equation] is said to be strictly increasing. If [Equation] then [Equation] is decreasing. A sequence that is either increasing or decreasing is said to be monotone. Bounded increasing sequence: It can be shown that a bounded increasing sequence tends to a limit.
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Contents of
Sequences and Limiting Processes
1 Sequences
2 Null sequences
3 Limits
4 Sequences tending to infinity
5 Alternating (or oscillating) sequence
6 Combining limits
7 Monotone sequences
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