A good answer might be:

1.0 is always a good number to worry about. Its square root is the same as itself; perhaps this special case will confuse the program? Also very large numbers should be tested; perhaps the initial guess of 1.0 will not work for them.

End of the Chapter

This is the end of the chapter. You may wish to root about in the following for something of interest. Click on a subject that interests you to go to where it was discussed.

Idea of a result-controlled loop.
Banking example of a result-controlled loop.
Example of nested loops.
Newton's Method
Ending condition for Newton's Method
Newton's Method program

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