] generates a list giving the results of applying f repeatedly, starting with expr, until the results no longer change.
See notes for FixedPoint.
] gives expr as the first element of the list it produces.
See the Mathematica book: Section 2.2.2.
See also: NestList, ComposeList.
Starting with an initial value of 1.0, FixedPointList finds the fixed point of the cosine function rather quickly.
This shows how slowly the function converges to its fixed point. FixedPointList stops after 2 successive results differ by less than .
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