hi, i have a very important question i cant get around solving.

iterated maps:

Suppose that Xn is defined recursively by
Xn+1 = aCos(Xn)

where Xo = 0.0

using mathematica investigate what happens to the sequence (Xo, X1, X2, .. , Xn) as n-->infinity
for various values of a such as a=1.0, a=1.5, a=1.9, a=2.1.

eagerly awaiting a response.