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Sequences and Limiting Processes


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Sequences


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Definition. A sequence is an ordered set of numbers. The set may be finite or infinite. If the sequence is infinite a rule for the generation of the nth term in the sequence must be given. The nth term of a sequence is denoted by [Equation goes here - download the original to see it.] Example: (1) [Equation goes here - download the original to see it.] (2) [Equation] (3) [Equation]
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

Related articles: (1) Differentiation from first principles, (2) Sequences and Limiting Processes