Definition:Divergent Sequence
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Definition
A sequence which is not convergent is divergent.
Explain how this specifically applies in the different contexts: Topological space, metric space, etc.
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Also see
- Because a Convergent Sequence is Bounded, it follows directly that an unbounded sequence is divergent.
- However, Divergent Sequences may be Bounded shows that the converse does not necessarily hold.
Sources
- K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977)... (previous)... (next): $\S 4.26$
