Answer to Question #50268 in Complex Analysis for cyre

Question

Sequence Zn = [ e ^{ i.(n ^2)- (n^2)} ] ^ (1/n)
A )) Determine whether Zn is convergent or divergent
Note : please by find the Limit Zn :as n approach to infinity: ( if value : the sequence will convergent ,but if Does not exist or infinity the sequence is divergent

B )) is ∑ Zn ^ n Convergent ? Why?