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Nest
Nest[
f
,
expr
,
n
] gives an expression with f applied n times to expr.
Example: Nest[f, x, 3] .
You can use Throw to exit from Nest before it is finished.
See the Mathematica book: Section 2.2.2.
See also: Fold, Function, FixedPoint, Do.
Further Examples
This nests the function f four times starting with initial value x.
In[1]:= 
Out[1]= 
This iteration provides evidence that the sine function approaches its fixed point at zero very slowly.
In[2]:= 
Out[2]= 
See the Further Examples for NestList.
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