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Limit of the Sequence a^(1/n)

​
a
1.2
ϵ
0.0595
n
1
zoom
This Demonstration illustrates that
lim
n∞
1/n
a
=1
, where
a>0
.
For each
ϵ>0
, there is an
n∈
such that for any
k≥n
,
1/k
a
-1<ϵ
.
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