Analysis: Thm 1.21 and Question from Walter Rudin

[mynameisfunk]

http://www.scribd.com/doc/9654478/Principles-of-Mathematical-Analysis-Third-Edition-Walter-Rudin

Ch. 1 This makes use of Thm 1.21 and which is page 10 of the text. See attachment for question.

https://www.physicsforums.com/attachment.php?attachmentid=27904&stc=1&d=1283219768

 

[HallsofIvy]

And what? Surely you don't just want the answer handed to you (and we won't do that even if you do). What have you tried with these? In particular, what is the definition of $a^{1/n}$ for a a positive real number and n an integer?

 

[mynameisfunk]

Im sorry. I forgot I had posted it in a hurry. Just part a here.