IteratedImage
Returns the final image of a value after iterated application of a function.
Syntax

IteratedImage(f, x, n)

f
is a function 
x
is any object 
n
is a nonnegative integer

Description
If f
is a function and x
any object, then IteratedImage(f, x, n)
returns the image of x
under n
successive applications of f
. Hence, IteratedImage(f, x, 0)
returns x
, IteratedImage(f, x, 1)
returns f(x)
, IteratedImage(f, x, 2)
returns f(f(x))
and so on.
Examples
IteratedImage(cos, 1, 100)
0.739085133215