Question

In: Advanced Math

If the infimum of a bounded set E does not exist in E, then why must...

If the infimum of a bounded set E does not exist in E, then why must E have a limit point. And if the infimum does exist in E, why is it inconclusive?

Solutions

Expert Solution


Related Solutions

Let sequence an be a bounded sequence and let E be the set of subsequential limits...
Let sequence an be a bounded sequence and let E be the set of subsequential limits of an. prove that E is bounded and contains both sup E and inf E
Prove Corollary 4.22: A set of real numbers E is closed and bounded if and only...
Prove Corollary 4.22: A set of real numbers E is closed and bounded if and only if every infinite subset of E has a point of accumulation that belongs to E. Use Theorem 4.21: [Bolzano-Weierstrass Property] A set of real numbers is closed and bounded if and only if every sequence of points chosen from the set has a subsequence that converges to a point that belongs to E. Must use Theorem 4.21 to prove Corollary 4.22 and there should...
Why Model Something That Does Not Exist? The purely competitive firm does not exist in the...
Why Model Something That Does Not Exist? The purely competitive firm does not exist in the real world anymore having disappeared in the USA by the early 1930's at the latest. The question is: so why do we model it in almost every textbook in Economics? What use does it serve? Discuss the relevance of the characteristics of the purely competition firm. Can you think of other things in other fields that we model, that do not exist anymore?
Why does the nursing profession exist?
Why does the nursing profession exist?
Why does corporate governance reform exist?
Why does corporate governance reform exist?
Why do the laws of physics exist? Why does nature behave the way it does? Why...
Why do the laws of physics exist? Why does nature behave the way it does? Why is there a connection between math and nature? Science can tell us a lot about how nature works, but it can't (and doesn't try to) answer the question, "Why?" What ideas do you have on the subject? Your answer may involve your culture, religion or lack of religion, philosophy, or other ideas.
Why does LDH exist as a tetramer? What differences exist between LDHA and LDHB at the...
Why does LDH exist as a tetramer? What differences exist between LDHA and LDHB at the dimer interface? What would happen if LDH were monomeric?
Does a continuous random variable X exist with E(X − a) = 0, where a is...
Does a continuous random variable X exist with E(X − a) = 0, where a is the day of your birthdate? If yes, give an example for its probability density function. If no, give an explanation. (b) Does a continuous random variable Y exist with E (Y − b) 2 = 0, where b is the month of your birthdate? If yes, give an example for its probability density function. If no, give an explanation.
Why in a metal parallel-plate waveguide does TM0 exist and TE0 does not? Or is it...
Why in a metal parallel-plate waveguide does TM0 exist and TE0 does not? Or is it the other way around?
What is the Common Rule in probability and statistics and why does it exist in the...
What is the Common Rule in probability and statistics and why does it exist in the United States? just need second thought will give great comments and feedback (:
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT