# 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

)