Convergent
Sequence
A sequence with a limit that
is a real
number.
For example, the sequence 2.1, 2.01, 2.001, 2.0001, . . . has
limit 2, so the sequence converges to
2. On the other hand, the sequence 1, 2, 3, 4, 5, 6, . . . has
a limit of infinity (∞).
This
is not a real number, so the sequence does not converge. It is
a divergent sequence.
See
also
Convergent
sequence, convergent series,
divergent series
