Convergence of a Hyperpower Sequence
Convergence of a Hyperpower Sequence
The limit of the hyperpower sequence , or equivalently,
,,...
2
,2
(
2
)2
2
(
2
)a
1
2
a
n+1
a
n
(
2
)satisfies the equation =. The solutions are 2 and 4. In the graphic we show that the limit is 2.
x
x
(
2
)