WOLFRAM

DEMONSTRATIONS
PROJECT
Limit of the Sequence
a
^(1/
n
)
a
ϵ
n
zoom
0
.
0
0
.
5
1
.
0
1
.
5
2
.
0
This Demonstration illustrates that
lim
n
∞
a
1
/
n
=
1
, where
a
>
0
.
For each
ϵ
>
0
, there is an
n
∈
such that for any
k
≥
n
,

a
1
/
k

1

<
ϵ
.