apparently Zionist means someone believing in returning to somewhere called the promised land, and I don't know much about being a jew but I guess believing in promised land is an important principle as well, so is there a difference? Thanks


Question: Increasing number of decimal places with FixedPoint
Answer: The problem is not FixedPointList - the problem is that Mathematica by default doesn't display that many digits. Consider for example

FixedPoint[newton3, 1.0] // InputForm


which displays several more decimals. Another option is to increase PrintPrecision:

SetOptions[InputNotebook[], PrintPrecision -&gt; 10]


This increases the number of decimals shown for all values in the current notebook. 

Style[FixedPoint[newton3, 1.0], PrintPrecision -&gt; 10]


does the same for the particular expression. 

Finally we may do the following to make sure the problem isn't with FixedPoint:

FixedPoint[newton3, 1.0] == Sqrt[3]
(* True *)