Definition:Divergent Real Sequence

Definition

A real sequence which is not convergent is .

Also see

• Because a Convergent Sequence is Bounded, it follows directly that an unbounded real sequence is .

• 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)