WOLFRAM|DEMONSTRATIONS PROJECT

Limit of a Sequence

​
choose ϵ > 0
0.5
find m
1
terms beyond the
th
m
1
zoom
1
This Demonstration shows a sequence with limit 1. The limit of a sequence
a
n
is a number
a
such that for any
ϵ>0
, there exists
m∈N
such that for all
n∈N
, if
n>m
, then
|a-
a
n
|<ϵ
.