Consider the two while loops discussed in connection with the machine epsilon in Sect. 3.4. Give a detailed explanation of the diferent behaviors. To this end, it might be useful to consult e.g. the...

Consider the two while loops discussed in connection with the machine

epsilon in Sect. 3.4.

Give a detailed explanation of the diferent behaviors. To this end, it might be

useful to consult e.g. the article en.wikipedia.org/wiki/IEEE_754 on the numerical standard in foating-point computation, and/or follow the program execution by

inserting print commands.