Snapshot 1: the behavior of a decreasing convergent sequence
Snapshot 2: the behavior of a general convergent sequence
Snapshot 3: the behavior of a nonconvergent sequence
Is it possible that there is a number
such that, no matter how small the value of
, there is a corresponding
so that, for all
, it follows that
?
For a nonconvergent sequence it is possible to see that this is not possible.
