Convergence criterion
The following convergence criterion is often used to verify
the convergence of a sequence
![[eq1]](http://images1.statlect.com/convergence_criterion__1.png)
:
![[eq2]](http://images1.statlect.com/convergence_criterion__2.png)
where
![[eq3]](http://images1.statlect.com/convergence_criterion__3.png)
is the distance between
and
.
The lecture entitled Limit of a sequence provides more details about this convergence criterion.
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