Definition:Divergent Real Sequence
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Definition
A real sequence which is not convergent is divergent.
Also see
- Because a Convergent Sequence is Bounded, it follows directly that an unbounded real sequence is divergent.
- However, Divergent Sequence may be Bounded shows that the converse does not necessarily hold.
- Results about divergent sequences can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): limit: 2. (of a sequence)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): limit: 2. (of a sequence)