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 non-negative 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

See also

• IteratedImages

• orbit