Mathematics Homework Solutions
Problem
#24114

Consider y = the least upper bound of...

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PLEASE PROVIDE AN EXPLANATION IN COMPLETE SENTENCES

Here is the problem

Given  and  prove that there is a unique y>0 such that  That is,  exists and is unique

Hint: Consider y = the least upper bound of  

Then use exercise 2 to show that  can be neither less than x nor greater than x.

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assignment2.3.doc
ALL STEPS MUST BE SHOWN

PLEASE PROVIDE AN EXPLANATION IN COMPLETE SENTENCES

Here is the problem

exists and is unique



can be neither less than x nor greater than x.

EXERCISE TWO.

kamdooo wrote:

Here is the problem



Hint: prove the inequality when n = 1, n = 2, and then do induction on n
using the identity:



of course, you have to proven the identity first.



Solution Summary

This is a proof regarding inequalities and subsets.

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